249118728 has 64 divisors (see below), whose sum is σ = 676761600. Its totient is φ = 76127040.

The previous prime is 249118721. The next prime is 249118739. The reversal of 249118728 is 827811942.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 249118728.

It is not an unprimeable number, because it can be changed into a prime (249118721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5325 + ... + 22947.

It is an arithmetic number, because the mean of its divisors is an integer number (10574400).

Almost surely, 2^249118728 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 249118728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338380800).

249118728 is an abundant number, since it is smaller than the sum of its proper divisors (427642872).

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

249118728 is a wasteful number, since it uses less digits than its factorization.

249118728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17682 (or 17678 counting only the distinct ones).

The product of its digits is 64512, while the sum is 42.

The square root of 249118728 is about 15783.4954303538. The cubic root of 249118728 is about 629.2194313617.

The spelling of 249118728 in words is "two hundred forty-nine million, one hundred eighteen thousand, seven hundred twenty-eight".