728597376 has 128 divisors (see below), whose sum is σ = 2315930400. Its totient is φ = 224169984.

The previous prime is 728597341. The next prime is 728597411. The reversal of 728597376 is 673795827.

It is an interprime number because it is at equal distance from previous prime (728597341) and next prime (728597411).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36820 + ... + 53036.

Almost surely, 2^728597376 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 728597376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157965200).

728597376 is an abundant number, since it is smaller than the sum of its proper divisors (1587333024).

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

728597376 is a wasteful number, since it uses less digits than its factorization.

728597376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16253 (or 16235 counting only the distinct ones).

The product of its digits is 4445280, while the sum is 54.

The square root of 728597376 is about 26992.5429702353. The cubic root of 728597376 is about 899.8342805986.

The spelling of 728597376 in words is "seven hundred twenty-eight million, five hundred ninety-seven thousand, three hundred seventy-six".