728816592 has 240 divisors, whose sum is σ = 2361277440. Its totient is φ = 192519936.

The previous prime is 728816563. The next prime is 728816623. The reversal of 728816592 is 295618827.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2100163 + ... + 2100509.

It is an arithmetic number, because the mean of its divisors is an integer number (9838656).

Almost surely, 2^728816592 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 728816592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180638720).

728816592 is an abundant number, since it is smaller than the sum of its proper divisors (1632460848).

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

728816592 is a wasteful number, since it uses less digits than its factorization.

728816592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 425 counting only the distinct ones).

The product of its digits is 483840, while the sum is 48.

The square root of 728816592 is about 26996.6033419021. The cubic root of 728816592 is about 899.9245171262.

The spelling of 728816592 in words is "seven hundred twenty-eight million, eight hundred sixteen thousand, five hundred ninety-two".