7931628 has 36 divisors (see below), whose sum is σ = 20639640. Its totient is φ = 2634120.

The previous prime is 7931621. The next prime is 7931633. The reversal of 7931628 is 8261397.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

7931628 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7931592 and 7931601.

It is not an unprimeable number, because it can be changed into a prime (7931621) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29133 + ... + 29403.

Almost surely, 2^7931628 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 7931628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10319820).

7931628 is an abundant number, since it is smaller than the sum of its proper divisors (12708012).

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

7931628 is a wasteful number, since it uses less digits than its factorization.

7931628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 276 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 7931628 is about 2816.3146131070. The cubic root of 7931628 is about 199.4286024120.

It can be divided in two parts, 793162 and 8, that added together give a triangular number (793170 = T₁₂₅₉).

The spelling of 7931628 in words is "seven million, nine hundred thirty-one thousand, six hundred twenty-eight".