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28449900 = 22335241257
BaseRepresentation
bin110110010000…
…1110001101100
31222112101221000
41230201301230
524240344100
62453440300
7463551213
oct154416154
958471830
1028449900
1115071916
129640090
135b8157b
143ac807a
15276e900
hex1b21c6c

28449900 has 144 divisors (see below), whose sum is σ = 94056480. Its totient is φ = 7372800.

The previous prime is 28449893. The next prime is 28449907. The reversal of 28449900 is 994482.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28449893) and next prime (28449907).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28449907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110572 + ... + 110828.

It is an arithmetic number, because the mean of its divisors is an integer number (653170).

Almost surely, 228449900 is an apocalyptic number.

28449900 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 28449900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47028240).

28449900 is an abundant number, since it is smaller than the sum of its proper divisors (65606580).

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

28449900 is a wasteful number, since it uses less digits than its factorization.

28449900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 28449900 is about 5333.8447671450. The cubic root of 28449900 is about 305.2766458880.

The spelling of 28449900 in words is "twenty-eight million, four hundred forty-nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 41 45 50 54 60 75 82 90 100 108 123 135 150 164 180 205 225 246 257 270 300 369 410 450 492 514 540 615 675 738 771 820 900 1025 1028 1107 1230 1285 1350 1476 1542 1845 2050 2214 2313 2460 2570 2700 3075 3084 3690 3855 4100 4428 4626 5140 5535 6150 6425 6939 7380 7710 9225 9252 10537 11070 11565 12300 12850 13878 15420 18450 19275 21074 22140 23130 25700 27675 27756 31611 34695 36900 38550 42148 46260 52685 55350 57825 63222 69390 77100 94833 105370 110700 115650 126444 138780 158055 173475 189666 210740 231300 263425 284499 316110 346950 379332 474165 526850 568998 632220 693900 790275 948330 1053700 1137996 1422495 1580550 1896660 2370825 2844990 3161100 4741650 5689980 7112475 9483300 14224950 28449900