976105728 has 432 divisors, whose sum is σ = 3374856576. Its totient is φ = 278691840.

The previous prime is 976105687. The next prime is 976105747. The reversal of 976105728 is 827501679.

976105728 is a `hidden beast` number, since 9 + 7 + 610 + 5 + 7 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 47 ways as a sum of consecutive naturals, for example, 13747933 + ... + 13748003.

It is an arithmetic number, because the mean of its divisors is an integer number (7812168).

Almost surely, 2^976105728 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 976105728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687428288).

976105728 is an abundant number, since it is smaller than the sum of its proper divisors (2398750848).

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

976105728 is a wasteful number, since it uses less digits than its factorization.

976105728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 976105728 is about 31242.6907932079. The cubic root of 976105728 is about 991.9709495482.

The spelling of 976105728 in words is "nine hundred seventy-six million, one hundred five thousand, seven hundred twenty-eight".