28061599182400 has 189 divisors, whose sum is σ = 80326636263729. Its totient is φ = 9620611176960.

The previous prime is 28061599182343. The next prime is 28061599182413. The reversal of 28061599182400 is 428199516082.

The square root of 28061599182400 is 5297320.

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

It can be written as a sum of positive squares in only one way, i.e., 10102175705664 + 17959423476736 = 3178392^2 + 4237856^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1483240141 + ... + 1483259059.

Almost surely, 2^{28061599182400} is an apocalyptic number.

28061599182400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28061599182400 is the 5297320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28061599182400

28061599182400 is an abundant number, since it is smaller than the sum of its proper divisors (52265037081329).

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

28061599182400 is an frugal number, since it uses more digits than its factorization.

28061599182400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37874 (or 18933 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 55.

The spelling of 28061599182400 in words is "twenty-eight trillion, sixty-one billion, five hundred ninety-nine million, one hundred eighty-two thousand, four hundred".