5015228400 has 900 divisors, whose sum is σ = 22641306072. Its totient is φ = 1058158080.

The previous prime is 5015228377. The next prime is 5015228401. The reversal of 5015228400 is 48225105.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5015228401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 385786794 + ... + 385786806.

Almost surely, 2^5015228400 is an apocalyptic number.

5015228400 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 5015228400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11320653036).

5015228400 is an abundant number, since it is smaller than the sum of its proper divisors (17626077672).

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

5015228400 is an equidigital number, since it uses as much as digits as its factorization.

5015228400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 5015228400 is about 70818.2773018378. The cubic root of 5015228400 is about 1711.7102003863.

The spelling of 5015228400 in words is "five billion, fifteen million, two hundred twenty-eight thousand, four hundred".