928929456 has 540 divisors, whose sum is σ = 3531102120. Its totient is φ = 226437120.

The previous prime is 928929433. The next prime is 928929457. The reversal of 928929456 is 654929829.

It is a happy number.

928929456 is a `hidden beast` number, since 92 + 89 + 29 + 456 = 666.

It is not an unprimeable number, because it can be changed into a prime (928929457) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 22656796 + ... + 22656836.

It is an arithmetic number, because the mean of its divisors is an integer number (6539078).

Almost surely, 2^928929456 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 928929456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765551060).

928929456 is an abundant number, since it is smaller than the sum of its proper divisors (2602172664).

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

928929456 is a wasteful number, since it uses less digits than its factorization.

928929456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 85 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 928929456 is about 30478.3440495051. The cubic root of 928929456 is about 975.7253269440.

The spelling of 928929456 in words is "nine hundred twenty-eight million, nine hundred twenty-nine thousand, four hundred fifty-six".