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32068268928 = 273331436961
BaseRepresentation
bin11101110111011010…
…101111001110000000
310001202220002211222000
4131313122233032000
51011133434101203
622422034144000
72213452534263
oct356732571600
9101686084860
1032068268928
111266677a0a3
12626b722000
133040a23077
1417a2dd4cda
15c7a4c44a3
hex7776af380

32068268928 has 256 divisors, whose sum is σ = 99985459200. Its totient is φ = 10102579200.

The previous prime is 32068268917. The next prime is 32068268929. The reversal of 32068268928 is 82986286023.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32068268929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4603368 + ... + 4610328.

It is an arithmetic number, because the mean of its divisors is an integer number (390568200).

Almost surely, 232068268928 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 32068268928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49992729600).

32068268928 is an abundant number, since it is smaller than the sum of its proper divisors (67917190272).

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

32068268928 is a wasteful number, since it uses less digits than its factorization.

32068268928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7058 (or 7040 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 32068268928 in words is "thirty-two billion, sixty-eight million, two hundred sixty-eight thousand, nine hundred twenty-eight".