5237528400 has 180 divisors, whose sum is σ = 19573982428. Its totient is φ = 1289226240.

The previous prime is 5237528393. The next prime is 5237528407. The reversal of 5237528400 is 48257325.

5237528400 is a `hidden beast` number, since 5 + 2 + 375 + 284 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5237528393) and next prime (5237528407).

It can be written as a sum of positive squares in 6 ways, for example, as 8503056 + 5229025344 = 2916^2 + 72312^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5237528407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9157 + ... + 102756.

Almost surely, 2^5237528400 is an apocalyptic number.

5237528400 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 5237528400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9786991214).

5237528400 is an abundant number, since it is smaller than the sum of its proper divisors (14336454028).

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

5237528400 is a wasteful number, since it uses less digits than its factorization.

5237528400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111950 (or 111936 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 5237528400 is about 72370.7703427288. The cubic root of 5237528400 is about 1736.6359895177.

The spelling of 5237528400 in words is "five billion, two hundred thirty-seven million, five hundred twenty-eight thousand, four hundred".