976228128 has 216 divisors, whose sum is σ = 3038316372. Its totient is φ = 297050112.

The previous prime is 976228103. The next prime is 976228133. The reversal of 976228128 is 821822679.

976228128 is a `hidden beast` number, since 9 + 7 + 622 + 8 + 12 + 8 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 721889424 + 254338704 = 26868^2 + 15948^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3079426 + ... + 3079742.

Almost surely, 2^976228128 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 976228128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519158186).

976228128 is an abundant number, since it is smaller than the sum of its proper divisors (2062088244).

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

976228128 is a wasteful number, since it uses less digits than its factorization.

976228128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 376 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 976228128 is about 31244.6495899698. The cubic root of 976228128 is about 992.0124109616.

The spelling of 976228128 in words is "nine hundred seventy-six million, two hundred twenty-eight thousand, one hundred twenty-eight".