7879728 has 40 divisors (see below), whose sum is σ = 20498688. Its totient is φ = 2608192.

The previous prime is 7879727. The next prime is 7879733. The reversal of 7879728 is 8279787.

It is a super-2 number, since 2×7879728² = 124180226707968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a d-powerful number, because it can be written as 7³ + 8³ + 7⁵ + 9² + 7⁸ + 2⁵ + 8⁷ .

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (7879723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7525 + ... + 8507.

Almost surely, 2^7879728 is an apocalyptic number.

It is an amenable number.

7879728 is an abundant number, since it is smaller than the sum of its proper divisors (12618960).

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

7879728 is a wasteful number, since it uses less digits than its factorization.

7879728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1155 counting only the distinct ones).

The product of its digits is 395136, while the sum is 48.

The square root of 7879728 is about 2807.0853211116. The cubic root of 7879728 is about 198.9926682652.

The spelling of 7879728 in words is "seven million, eight hundred seventy-nine thousand, seven hundred twenty-eight".