976112928 has 162 divisors, whose sum is σ = 3241340739. Its totient is φ = 277828992.

The previous prime is 976112923. The next prime is 976112971. The reversal of 976112928 is 829211679.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

976112928 is a `hidden beast` number, since 9 + 7 + 611 + 2 + 9 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 488056464 + 488056464 = 22092^2 + 22092^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=22092.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (976112923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3711325 + ... + 3711587.

Almost surely, 2^976112928 is an apocalyptic number.

976112928 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 976112928

976112928 is an abundant number, since it is smaller than the sum of its proper divisors (2265227811).

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

976112928 is a wasteful number, since it uses less digits than its factorization.

976112928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 275 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 976112928 is about 31242.8060199464. The cubic root of 976112928 is about 991.9733885508.

The spelling of 976112928 in words is "nine hundred seventy-six million, one hundred twelve thousand, nine hundred twenty-eight".