7642128 has 80 divisors (see below), whose sum is σ = 21901376. Its totient is φ = 2280960.

The previous prime is 7642127. The next prime is 7642133. The reversal of 7642128 is 8212467.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 7642095 and 7642104.

It is not an unprimeable number, because it can be changed into a prime (7642121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22923 + ... + 23253.

Almost surely, 2^7642128 is an apocalyptic number.

7642128 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7642128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10950688).

7642128 is an abundant number, since it is smaller than the sum of its proper divisors (14259248).

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

7642128 is a wasteful number, since it uses less digits than its factorization.

7642128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 386 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 7642128 is about 2764.4399071060. The cubic root of 7642128 is about 196.9721245140.

The spelling of 7642128 in words is "seven million, six hundred forty-two thousand, one hundred twenty-eight".