7952728 has 64 divisors (see below), whose sum is σ = 18144000. Its totient is φ = 3196032.

The previous prime is 7952701. The next prime is 7952761. The reversal of 7952728 is 8272597.

It is a d-powerful number, because it can be written as 7⁴ + 9 + 5⁷ + 2¹¹ + 7⁸ + 2¹³ + 8⁷ .

Its product of digits (70560) is a multiple of the sum of its prime divisors (180).

It is a congruent number.

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, 95775 + ... + 95857.

It is an arithmetic number, because the mean of its divisors is an integer number (283500).

Almost surely, 2^7952728 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 7952728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9072000).

7952728 is an abundant number, since it is smaller than the sum of its proper divisors (10191272).

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

7952728 is a wasteful number, since it uses less digits than its factorization.

7952728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 180 counting only the distinct ones).

The product of its digits is 70560, while the sum is 40.

The square root of 7952728 is about 2820.0581554287. The cubic root of 7952728 is about 199.6052881921.

The spelling of 7952728 in words is "seven million, nine hundred fifty-two thousand, seven hundred twenty-eight".