928055040 has 288 divisors, whose sum is σ = 3277725696. Its totient is φ = 221921280.

The previous prime is 928055039. The next prime is 928055087. The reversal of 928055040 is 40550829.

928055040 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 2×928055040² = 1722572314538803200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 928054992 and 928055010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5364394 + ... + 5364566.

It is an arithmetic number, because the mean of its divisors is an integer number (11380992).

Almost surely, 2^928055040 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 928055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638862848).

928055040 is an abundant number, since it is smaller than the sum of its proper divisors (2349670656).

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

928055040 is a wasteful number, since it uses less digits than its factorization.

928055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 928055040 is about 30463.9957983190. The cubic root of 928055040 is about 975.4190755994.

The spelling of 928055040 in words is "nine hundred twenty-eight million, fifty-five thousand, forty".