728193024 has 192 divisors, whose sum is σ = 2325304800. Its totient is φ = 223838208.

The previous prime is 728193019. The next prime is 728193047. The reversal of 728193024 is 420391827.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 728193024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 718342 + ... + 719354.

Almost surely, 2^728193024 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 728193024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162652400).

728193024 is an abundant number, since it is smaller than the sum of its proper divisors (1597111776).

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

728193024 is a wasteful number, since it uses less digits than its factorization.

728193024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 728193024 is about 26985.0518620958. The cubic root of 728193024 is about 899.6677884990.

The spelling of 728193024 in words is "seven hundred twenty-eight million, one hundred ninety-three thousand, twenty-four".