728268120 has 96 divisors (see below), whose sum is σ = 2443259520. Its totient is φ = 187937280.

The previous prime is 728268103. The next prime is 728268137. The reversal of 728268120 is 21862827.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (728268103) and next prime (728268137).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21469 + ... + 43788.

It is an arithmetic number, because the mean of its divisors is an integer number (25450620).

Almost surely, 2^728268120 is an apocalyptic number.

It is an amenable number.

728268120 is an abundant number, since it is smaller than the sum of its proper divisors (1714991400).

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

728268120 is a wasteful number, since it uses less digits than its factorization.

728268120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65305 (or 65298 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 728268120 is about 26986.4432632387. The cubic root of 728268120 is about 899.6987139669.

The spelling of 728268120 in words is "seven hundred twenty-eight million, two hundred sixty-eight thousand, one hundred twenty".