5972528400 has 360 divisors, whose sum is σ = 21406067424. Its totient is φ = 1418342400.

The previous prime is 5972528363. The next prime is 5972528407. The reversal of 5972528400 is 48252795.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5972528407) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 7363995 + ... + 7364805.

Almost surely, 2^5972528400 is an apocalyptic number.

5972528400 is a gapful number since it is divisible by the number (50) 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 5972528400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10703033712).

5972528400 is an abundant number, since it is smaller than the sum of its proper divisors (15433539024).

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

5972528400 is a wasteful number, since it uses less digits than its factorization.

5972528400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 5972528400 is about 77282.1350636743. The cubic root of 5972528400 is about 1814.3430599897.

The spelling of 5972528400 in words is "five billion, nine hundred seventy-two million, five hundred twenty-eight thousand, four hundred".