728071920 has 180 divisors, whose sum is σ = 2598141000. Its totient is φ = 182679552.

The previous prime is 728071913. The next prime is 728071991. The reversal of 728071920 is 29170827.

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 206331 + ... + 209829.

Almost surely, 2^728071920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728071920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299070500).

728071920 is an abundant number, since it is smaller than the sum of its proper divisors (1870069080).

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

728071920 is a wasteful number, since it uses less digits than its factorization.

728071920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3552 (or 3526 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 728071920 is about 26982.8078598207. The cubic root of 728071920 is about 899.6179118844.

The spelling of 728071920 in words is "seven hundred twenty-eight million, seventy-one thousand, nine hundred twenty".