7949928 has 64 divisors (see below), whose sum is σ = 23040000. Its totient is φ = 2238912.

The previous prime is 7949899. The next prime is 7949933. The reversal of 7949928 is 8299497.

It is a happy number.

7949928 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

7949928 is strictly pandigital in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12973 + ... + 13571.

It is an arithmetic number, because the mean of its divisors is an integer number (360000).

Almost surely, 2^7949928 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 7949928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11520000).

7949928 is an abundant number, since it is smaller than the sum of its proper divisors (15090072).

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

7949928 is a wasteful number, since it uses less digits than its factorization.

7949928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 690 counting only the distinct ones).

The product of its digits is 326592, while the sum is 48.

The square root of 7949928 is about 2819.5616680612. The cubic root of 7949928 is about 199.5818597362.

It can be divided in two parts, 79 and 49928, that multiplied together give a cube (3944312 = 158³).

The spelling of 7949928 in words is "seven million, nine hundred forty-nine thousand, nine hundred twenty-eight".