728139888 has 480 divisors, whose sum is σ = 2721254400. Its totient is φ = 182020608.

The previous prime is 728139877. The next prime is 728139899. The reversal of 728139888 is 888931827.

It is an interprime number because it is at equal distance from previous prime (728139877) and next prime (728139899).

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

It is a nude number because it is divisible by every one of its digits.

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 95 ways as a sum of consecutive naturals, for example, 25108258 + ... + 25108286.

It is an arithmetic number, because the mean of its divisors is an integer number (5669280).

Almost surely, 2^728139888 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 728139888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360627200).

728139888 is an abundant number, since it is smaller than the sum of its proper divisors (1993114512).

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

728139888 is a wasteful number, since it uses less digits than its factorization.

728139888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 83 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 54.

The square root of 728139888 is about 26984.0672990563. The cubic root of 728139888 is about 899.6459051481.

The spelling of 728139888 in words is "seven hundred twenty-eight million, one hundred thirty-nine thousand, eight hundred eighty-eight".