728888160 has 768 divisors, whose sum is σ = 3243276288. Its totient is φ = 132710400.

The previous prime is 728888093. The next prime is 728888161. The reversal of 728888160 is 61888827.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728888161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17777740 + ... + 17777780.

It is an arithmetic number, because the mean of its divisors is an integer number (4223016).

Almost surely, 2^728888160 is an apocalyptic number.

728888160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728888160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621638144).

728888160 is an abundant number, since it is smaller than the sum of its proper divisors (2514388128).

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

728888160 is a wasteful number, since it uses less digits than its factorization.

728888160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 48.

The square root of 728888160 is about 26997.9288094476. The cubic root of 728888160 is about 899.9539729548.

It can be divided in two parts, 728 and 888160, that added together give a palindrome (888888).

The spelling of 728888160 in words is "seven hundred twenty-eight million, eight hundred eighty-eight thousand, one hundred sixty".