628066292 has 48 divisors (see below), whose sum is σ = 1338156288. Its totient is φ = 251788800.

The previous prime is 628066291. The next prime is 628066297. The reversal of 628066292 is 292660826.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628066291) 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, 75542 + ... + 83442.

It is an arithmetic number, because the mean of its divisors is an integer number (27878256).

Almost surely, 2^628066292 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 628066292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669078144).

628066292 is an abundant number, since it is smaller than the sum of its proper divisors (710089996).

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

628066292 is a wasteful number, since it uses less digits than its factorization.

628066292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8096 (or 8094 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 628066292 is about 25061.2508067734. The cubic root of 628066292 is about 856.3839024645.

The spelling of 628066292 in words is "six hundred twenty-eight million, sixty-six thousand, two hundred ninety-two".