5035288400 has 60 divisors (see below), whose sum is σ = 12142181184. Its totient is φ = 2006640000.

The previous prime is 5035288393. The next prime is 5035288417. The reversal of 5035288400 is 48825305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85175 + ... + 131625.

Almost surely, 2^5035288400 is an apocalyptic number.

5035288400 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 5035288400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6071090592).

5035288400 is an abundant number, since it is smaller than the sum of its proper divisors (7106892784).

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

5035288400 is a wasteful number, since it uses less digits than its factorization.

5035288400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46740 (or 46729 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The square root of 5035288400 is about 70959.7660650033. The cubic root of 5035288400 is about 1713.9893406957.

The spelling of 5035288400 in words is "five billion, thirty-five million, two hundred eighty-eight thousand, four hundred".