5034728192400 has 135 divisors (see below), whose sum is σ = 17472372576451. Its totient is φ = 1342558283520.

The previous prime is 5034728192369. The next prime is 5034728192401. The reversal of 5034728192400 is 42918274305.

The square root of 5034728192400 is 2243820.

It is a perfect power (a square), and thus also a powerful number.

5034728192400 is a `hidden beast` number, since 5 + 0 + 34 + 7 + 28 + 192 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 664153281936 + 4370574910464 = 814956^2 + 2090592^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5034728192401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 134610502 + ... + 134647898.

Almost surely, 2^{5034728192400} is an apocalyptic number.

5034728192400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5034728192400 is the 2243820-th square number.

It is an amenable number.

5034728192400 is an abundant number, since it is smaller than the sum of its proper divisors (12437644384051).

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

5034728192400 is an frugal number, since it uses more digits than its factorization.

5034728192400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74818 (or 37407 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 5034728192400 in words is "five trillion, thirty-four billion, seven hundred twenty-eight million, one hundred ninety-two thousand, four hundred".