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28455000 = 233547271
BaseRepresentation
bin110110010001…
…1000001011000
31222112122220220
41230203001120
524241030000
62453520040
7463602120
oct154430130
958478826
1028455000
1115075732
129643020
135b839a2
143ac9c80
1527711a0
hex1b23058

28455000 has 160 divisors (see below), whose sum is σ = 101967360. Its totient is φ = 6480000.

The previous prime is 28454999. The next prime is 28455001. The reversal of 28455000 is 55482.

It is an interprime number because it is at equal distance from previous prime (28454999) and next prime (28455001).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28455001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 104865 + ... + 105135.

It is an arithmetic number, because the mean of its divisors is an integer number (637296).

Almost surely, 228455000 is an apocalyptic number.

28455000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28455000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50983680).

28455000 is an abundant number, since it is smaller than the sum of its proper divisors (73512360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28455000 is a wasteful number, since it uses less digits than its factorization.

28455000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 28455000 is about 5334.3228248766. The cubic root of 28455000 is about 305.2948863489.

The spelling of 28455000 in words is "twenty-eight million, four hundred fifty-five thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 271 280 300 350 375 420 500 525 542 600 625 700 750 813 840 875 1000 1050 1084 1250 1355 1400 1500 1626 1750 1875 1897 2100 2168 2500 2625 2710 3000 3252 3500 3750 3794 4065 4200 4375 5000 5250 5420 5691 6504 6775 7000 7500 7588 8130 8750 9485 10500 10840 11382 13125 13550 15000 15176 16260 17500 18970 20325 21000 22764 26250 27100 28455 32520 33875 35000 37940 40650 45528 47425 52500 54200 56910 67750 75880 81300 94850 101625 105000 113820 135500 142275 162600 169375 189700 203250 227640 237125 271000 284550 338750 379400 406500 474250 508125 569100 677500 711375 813000 948500 1016250 1138200 1185625 1355000 1422750 1897000 2032500 2371250 2845500 3556875 4065000 4742500 5691000 7113750 9485000 14227500 28455000