7638828 has 12 divisors (see below), whose sum is σ = 17823960. Its totient is φ = 2546272.

The previous prime is 7638823. The next prime is 7638853. The reversal of 7638828 is 8288367.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 7638828.

It is not an unprimeable number, because it can be changed into a prime (7638823) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 318273 + ... + 318296.

It is an arithmetic number, because the mean of its divisors is an integer number (1485330).

Almost surely, 2^7638828 is an apocalyptic number.

It is an amenable number.

7638828 is an abundant number, since it is smaller than the sum of its proper divisors (10185132).

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

7638828 is a wasteful number, since it uses less digits than its factorization.

7638828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636576 (or 636574 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 7638828 is about 2763.8429767264. The cubic root of 7638828 is about 196.9437684682.

It can be divided in two parts, 763 and 8828, that added together give a triangular number (9591 = T₁₃₈).

The spelling of 7638828 in words is "seven million, six hundred thirty-eight thousand, eight hundred twenty-eight".