8971528400 has 120 divisors (see below), whose sum is σ = 21913683000. Its totient is φ = 3529267200.

The previous prime is 8971528399. The next prime is 8971528451. The reversal of 8971528400 is 48251798.

It can be written as a sum of positive squares in 12 ways, for example, as 3496120384 + 5475408016 = 59128^2 + 73996^2 .

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6495710 + ... + 6497090.

It is an arithmetic number, because the mean of its divisors is an integer number (182614025).

Almost surely, 2^8971528400 is an apocalyptic number.

8971528400 is a gapful number since it is divisible by the number (80) 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 8971528400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10956841500).

8971528400 is an abundant number, since it is smaller than the sum of its proper divisors (12942154600).

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

8971528400 is a wasteful number, since it uses less digits than its factorization.

8971528400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 44.

The square root of 8971528400 is about 94718.1524313054. The cubic root of 8971528400 is about 2077.8880498752. Note that the first 3 decimals are identical.

The spelling of 8971528400 in words is "eight billion, nine hundred seventy-one million, five hundred twenty-eight thousand, four hundred".