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28837688 = 23112313
BaseRepresentation
bin110111000000…
…0011100111000
32000021002212112
41232000130320
524340301223
62510031452
7500054615
oct156003470
960232775
1028837688
1115307200
1297a8588
135c88c29
143b8950c
1527e9778
hex1b80738

28837688 has 48 divisors (see below), whose sum is σ = 61414080. Its totient is φ = 12685200.

The previous prime is 28837667. The next prime is 28837693. The reversal of 28837688 is 88673882.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-3 number, since 3×288376883 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 930233 + ... + 930263.

It is an arithmetic number, because the mean of its divisors is an integer number (1279460).

Almost surely, 228837688 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 28837688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30707040).

28837688 is an abundant number, since it is smaller than the sum of its proper divisors (32576392).

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

28837688 is an equidigital number, since it uses as much as digits as its factorization.

28837688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 44 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 50.

The square root of 28837688 is about 5370.0733700761. The cubic root of 28837688 is about 306.6574214814.

The spelling of 28837688 in words is "twenty-eight million, eight hundred thirty-seven thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 11 22 31 44 62 88 121 124 242 248 341 484 682 961 968 1364 1922 2728 3751 3844 7502 7688 10571 15004 21142 29791 30008 42284 59582 84568 116281 119164 232562 238328 327701 465124 655402 930248 1310804 2621608 3604711 7209422 14418844 28837688