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28690872 = 2337231787
BaseRepresentation
bin110110101110…
…0100110111000
31222222122110220
41231130212320
524321101442
62502540040
7465603600
oct155344670
958878426
1028690872
1115216971
129737620
135c37162
143b4bc00
1527baeec
hex1b5c9b8

28690872 has 96 divisors (see below), whose sum is σ = 86238720. Its totient is φ = 7922880.

The previous prime is 28690819. The next prime is 28690877. The reversal of 28690872 is 27809682.

It is a happy number.

It is a super-2 number, since 2×286908722 = 1646332272240768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28690877) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36063 + ... + 36849.

It is an arithmetic number, because the mean of its divisors is an integer number (898320).

Almost surely, 228690872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28690872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43119360).

28690872 is an abundant number, since it is smaller than the sum of its proper divisors (57547848).

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

28690872 is a wasteful number, since it uses less digits than its factorization.

28690872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 28690872 is about 5356.3860951205. The cubic root of 28690872 is about 306.1361263708.

It can be divided in two parts, 28 and 690872, that added together give a triangular number (690900 = T1175).

The spelling of 28690872 in words is "twenty-eight million, six hundred ninety thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 49 56 62 84 93 98 124 147 168 186 196 217 248 294 372 392 434 588 651 744 787 868 1176 1302 1519 1574 1736 2361 2604 3038 3148 4557 4722 5208 5509 6076 6296 9114 9444 11018 12152 16527 18228 18888 22036 24397 33054 36456 38563 44072 48794 66108 73191 77126 97588 115689 132216 146382 154252 170779 195176 231378 292764 308504 341558 462756 512337 585528 683116 925512 1024674 1195453 1366232 2049348 2390906 3586359 4098696 4781812 7172718 9563624 14345436 28690872