28015933688064 has 1215 divisors, whose sum is σ = 99975545995017. Its totient is φ = 7780467695616.

The previous prime is 28015933688047. The next prime is 28015933688107. The reversal of 28015933688064 is 46088633951082.

It is a happy number.

The square root of 28015933688064 is 5293008.

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

28015933688064 is a `hidden beast` number, since 2 + 8 + 0 + 1 + 593 + 36 + 8 + 8 + 0 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5379653470464 + 22636280217600 = 2319408^2 + 4757760^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 28015933687992 and 28015933688010.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 314785771732 + ... + 314785771820.

Almost surely, 2^{28015933688064} is an apocalyptic number.

28015933688064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

28015933688064 is the 5293008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28015933688064

28015933688064 is an abundant number, since it is smaller than the sum of its proper divisors (71959612306953).

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

28015933688064 is an frugal number, since it uses more digits than its factorization.

28015933688064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 28015933688064 in words is "twenty-eight trillion, fifteen billion, nine hundred thirty-three million, six hundred eighty-eight thousand, sixty-four".