727968128 has 32 divisors (see below), whose sum is σ = 1526583000. Its totient is φ = 344825856.

The previous prime is 727968107. The next prime is 727968139. The reversal of 727968128 is 821869727.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×727968128³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 147233 + ... + 152096.

Almost surely, 2^727968128 is an apocalyptic number.

It is an amenable number.

727968128 is an abundant number, since it is smaller than the sum of its proper divisors (798614872).

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

727968128 is a wasteful number, since it uses less digits than its factorization.

727968128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299362 (or 299350 counting only the distinct ones).

The product of its digits is 677376, while the sum is 50.

The square root of 727968128 is about 26980.8844925440. The cubic root of 727968128 is about 899.5751608058.

The spelling of 727968128 in words is "seven hundred twenty-seven million, nine hundred sixty-eight thousand, one hundred twenty-eight".