928248552 has 512 divisors, whose sum is σ = 3525120000. Its totient is φ = 223534080.

The previous prime is 928248521. The next prime is 928248583. The reversal of 928248552 is 255842829.

928248552 is a `hidden beast` number, since 92 + 8 + 2 + 4 + 8 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (928248521) and next prime (928248583).

It is a junction number, because it is equal to n+sod(n) for n = 928248498 and 928248507.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13854423 + ... + 13854489.

It is an arithmetic number, because the mean of its divisors is an integer number (6885000).

Almost surely, 2^928248552 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 928248552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762560000).

928248552 is an abundant number, since it is smaller than the sum of its proper divisors (2596871448).

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

928248552 is a wasteful number, since it uses less digits than its factorization.

928248552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 107 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 928248552 is about 30467.1717098913. The cubic root of 928248552 is about 975.4868669014.

The spelling of 928248552 in words is "nine hundred twenty-eight million, two hundred forty-eight thousand, five hundred fifty-two".