9577628970 has 128 divisors (see below), whose sum is σ = 28365313536. Its totient is φ = 2015456256.

The previous prime is 9577628939. The next prime is 9577628989. The reversal of 9577628970 is 798267759.

9577628970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1079392 + ... + 1088228.

It is an arithmetic number, because the mean of its divisors is an integer number (221604012).

Almost surely, 2^9577628970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9577628970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14182656768).

9577628970 is an abundant number, since it is smaller than the sum of its proper divisors (18787684566).

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

9577628970 is a wasteful number, since it uses less digits than its factorization.

9577628970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9264.

The product of its (nonzero) digits is 13335840, while the sum is 60.

The square root of 9577628970 is about 97865.3614411146. The cubic root of 9577628970 is about 2123.6649677617.

The spelling of 9577628970 in words is "nine billion, five hundred seventy-seven million, six hundred twenty-eight thousand, nine hundred seventy".