7408728 has 48 divisors (see below), whose sum is σ = 20540520. Its totient is φ = 2411136.

The previous prime is 7408703. The next prime is 7408733. The reversal of 7408728 is 8278047.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 7408692 and 7408701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1900 + ... + 4292.

Almost surely, 2^7408728 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 7408728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10270260).

7408728 is an abundant number, since it is smaller than the sum of its proper divisors (13131792).

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

7408728 is a wasteful number, since it uses less digits than its factorization.

7408728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 7408728 is about 2721.8978672977. The cubic root of 7408728 is about 194.9460995010.

The spelling of 7408728 in words is "seven million, four hundred eight thousand, seven hundred twenty-eight".