928282000752 has 240 divisors, whose sum is σ = 2746496712960. Its totient is φ = 291873466368.

The previous prime is 928282000703. The next prime is 928282000757. The reversal of 928282000752 is 257000282829.

928282000752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×928282000752² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 928282000698 and 928282000707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (928282000757) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1179519303 + ... + 1179520089.

It is an arithmetic number, because the mean of its divisors is an integer number (11443736304).

Almost surely, 2^928282000752 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 928282000752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373248356480).

928282000752 is an abundant number, since it is smaller than the sum of its proper divisors (1818214712208).

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

928282000752 is a wasteful number, since it uses less digits than its factorization.

928282000752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 928282000752 in words is "nine hundred twenty-eight billion, two hundred eighty-two million, seven hundred fifty-two", and thus it is an aban number.