28693649664 has 81 divisors (see below), whose sum is σ = 82754315553. Its totient is φ = 9561839616.

The previous prime is 28693649659. The next prime is 28693649683. The reversal of 28693649664 is 46694639682.

The square root of 28693649664 is 169392.

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

28693649664 is a `hidden beast` number, since 2 + 86 + 9 + 3 + 6 + 496 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2682411264 + 26011238400 = 51792^2 + 161280^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8129052 + ... + 8132580.

Almost surely, 2^28693649664 is an apocalyptic number.

28693649664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

28693649664 is the 169392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28693649664

28693649664 is an abundant number, since it is smaller than the sum of its proper divisors (54060665889).

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

28693649664 is an frugal number, since it uses more digits than its factorization.

28693649664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7080 (or 3534 counting only the distinct ones).

The product of its digits is 80621568, while the sum is 63.

The spelling of 28693649664 in words is "twenty-eight billion, six hundred ninety-three million, six hundred forty-nine thousand, six hundred sixty-four".