7649728 has 56 divisors (see below), whose sum is σ = 16459200. Its totient is φ = 3514368.

The previous prime is 7649693. The next prime is 7649737. The reversal of 7649728 is 8279467.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85908 + ... + 85996.

Almost surely, 2^7649728 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 7649728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8229600).

7649728 is an abundant number, since it is smaller than the sum of its proper divisors (8809472).

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

7649728 is a wasteful number, since it uses less digits than its factorization.

7649728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 187 counting only the distinct ones).

The product of its digits is 169344, while the sum is 43.

The square root of 7649728 is about 2765.8141658470. The cubic root of 7649728 is about 197.0373983127.

The spelling of 7649728 in words is "seven million, six hundred forty-nine thousand, seven hundred twenty-eight".