728517888 has 324 divisors, whose sum is σ = 2544534720. Its totient is φ = 207277056.

The previous prime is 728517883. The next prime is 728517943. The reversal of 728517888 is 888715827.

It is a tau number, because it is divible by the number of its divisors (324).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728517883) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3048073 + ... + 3048311.

Almost surely, 2^728517888 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 728517888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272267360).

728517888 is an abundant number, since it is smaller than the sum of its proper divisors (1816016832).

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

728517888 is an equidigital number, since it uses as much as digits as its factorization.

728517888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 251 counting only the distinct ones).

The product of its digits is 2007040, while the sum is 54.

The square root of 728517888 is about 26991.0705234157. The cubic root of 728517888 is about 899.8015562477.

The spelling of 728517888 in words is "seven hundred twenty-eight million, five hundred seventeen thousand, eight hundred eighty-eight".