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28827700 = 22521173359
BaseRepresentation
bin110110111111…
…0000000110100
32000020121011121
41231332000310
524334441300
62505513324
7500013526
oct155760064
960217147
1028827700
11152aa750
1297a2844
135c84515
143b85a16
1527e681a
hex1b7e034

28827700 has 72 divisors (see below), whose sum is σ = 69370560. Its totient is φ = 10310400.

The previous prime is 28827683. The next prime is 28827703. The reversal of 28827700 is 772882.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28827703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80121 + ... + 80479.

It is an arithmetic number, because the mean of its divisors is an integer number (963480).

Almost surely, 228827700 is an apocalyptic number.

28827700 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 28827700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34685280).

28827700 is an abundant number, since it is smaller than the sum of its proper divisors (40542860).

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

28827700 is a wasteful number, since it uses less digits than its factorization.

28827700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 34.

The square root of 28827700 is about 5369.1433208660. The cubic root of 28827700 is about 306.6220135573.

It can be divided in two parts, 28 and 827700, that added together give a palindrome (827728).

The spelling of 28827700 in words is "twenty-eight million, eight hundred twenty-seven thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 73 100 110 146 220 275 292 359 365 550 718 730 803 1100 1436 1460 1606 1795 1825 3212 3590 3650 3949 4015 7180 7300 7898 8030 8975 15796 16060 17950 19745 20075 26207 35900 39490 40150 52414 78980 80300 98725 104828 131035 197450 262070 288277 394900 524140 576554 655175 1153108 1310350 1441385 2620700 2882770 5765540 7206925 14413850 28827700