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28372680 = 233657139
BaseRepresentation
bin110110000111…
…0111011001000
31222101111000000
41230032323020
524230411210
62452043000
7463110120
oct154167310
958344000
1028372680
11150198a6
129603460
135b5538b
143aa7c80
152756ac0
hex1b0eec8

28372680 has 224 divisors, whose sum is σ = 110174400. Its totient is φ = 6438528.

The previous prime is 28372679. The next prime is 28372693. The reversal of 28372680 is 8627382.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 204051 + ... + 204189.

It is an arithmetic number, because the mean of its divisors is an integer number (491850).

Almost surely, 228372680 is an apocalyptic number.

28372680 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 28372680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55087200).

28372680 is an abundant number, since it is smaller than the sum of its proper divisors (81801720).

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

28372680 is a wasteful number, since it uses less digits than its factorization.

28372680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 28372680 is about 5326.6011677241. The cubic root of 28372680 is about 305.0001970795. Note that the first 3 decimals are identical.

The spelling of 28372680 in words is "twenty-eight million, three hundred seventy-two thousand, six hundred eighty".