8990528400 has 360 divisors, whose sum is σ = 35857508544. Its totient is φ = 2043417600.

The previous prime is 8990528399. The next prime is 8990528411. The reversal of 8990528400 is 48250998.

8990528400 is a `hidden beast` number, since 89 + 9 + 0 + 528 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×8990528400² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4963495 + ... + 4965305.

Almost surely, 2^8990528400 is an apocalyptic number.

8990528400 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 8990528400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17928754272).

8990528400 is an abundant number, since it is smaller than the sum of its proper divisors (26866980144).

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

8990528400 is a wasteful number, since it uses less digits than its factorization.

8990528400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2039 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 8990528400 is about 94818.3969491153. The cubic root of 8990528400 is about 2079.3538735206.

The spelling of 8990528400 in words is "eight billion, nine hundred ninety million, five hundred twenty-eight thousand, four hundred".