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28374832332 = 223471119311931
BaseRepresentation
bin11010011011010001…
…011001010011001100
32201020111020211110000
4122123101121103030
5431102424113312
621011335044300
72023104044460
oct323321312314
981214224400
1028374832332
1111040942560
1255ba810690
1328a2789a22
1415326824a0
15b11107adc
hex69b4594cc

28374832332 has 480 divisors, whose sum is σ = 100540661760. Its totient is φ = 6753456000.

The previous prime is 28374832307. The next prime is 28374832373. The reversal of 28374832332 is 23323847382.

28374832332 is a `hidden beast` number, since 283 + 7 + 4 + 8 + 32 + 332 = 666.

It is a super-2 number, since 2×283748323322 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14693407 + ... + 14695337.

It is an arithmetic number, because the mean of its divisors is an integer number (209459712).

Almost surely, 228374832332 is an apocalyptic number.

28374832332 is a gapful number since it is divisible by the number (22) 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 28374832332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50270330880).

28374832332 is an abundant number, since it is smaller than the sum of its proper divisors (72165829428).

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

28374832332 is a wasteful number, since it uses less digits than its factorization.

28374832332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015 (or 2004 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The spelling of 28374832332 in words is "twenty-eight billion, three hundred seventy-four million, eight hundred thirty-two thousand, three hundred thirty-two".