28369338624 has 405 divisors, whose sum is σ = 93184383565. Its totient is φ = 8300328960.

The previous prime is 28369338617. The next prime is 28369338643. The reversal of 28369338624 is 42683396382.

The square root of 28369338624 is 168432.

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

28369338624 is a `hidden beast` number, since 2 + 8 + 3 + 6 + 9 + 3 + 3 + 8 + 624 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14876193024 + 13493145600 = 121968^2 + 116160^2 .

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 978253042 + ... + 978253070.

Almost surely, 2^28369338624 is an apocalyptic number.

28369338624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

28369338624 is the 168432-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28369338624

28369338624 is an abundant number, since it is smaller than the sum of its proper divisors (64815044941).

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

28369338624 is an frugal number, since it uses more digits than its factorization.

28369338624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 45 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The spelling of 28369338624 in words is "twenty-eight billion, three hundred sixty-nine million, three hundred thirty-eight thousand, six hundred twenty-four".