938728454400 has 729 divisors, whose sum is σ = 3699088193073. Its totient is φ = 226950451200.

The previous prime is 938728454393. The next prime is 938728454413. The reversal of 938728454400 is 4454827839.

The square root of 938728454400 is 968880.

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

938728454400 is a `hidden beast` number, since 93 + 8 + 7 + 2 + 8 + 4 + 544 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 337942243584 + 600786210816 = 581328^2 + 775104^2 .

It is a super-2 number, since 2×938728454400² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2557843017 + ... + 2557843383.

Almost surely, 2^938728454400 is an apocalyptic number.

938728454400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

938728454400 is the 968880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 938728454400

938728454400 is an abundant number, since it is smaller than the sum of its proper divisors (2760359738673).

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

938728454400 is a wasteful number, since it uses less digits than its factorization.

938728454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 938728454400 in words is "nine hundred thirty-eight billion, seven hundred twenty-eight million, four hundred fifty-four thousand, four hundred".