628262824 has 64 divisors (see below), whose sum is σ = 1373034240. Its totient is φ = 263961600.

The previous prime is 628262813. The next prime is 628262879. The reversal of 628262824 is 428262826.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 638637 + ... + 639619.

It is an arithmetic number, because the mean of its divisors is an integer number (21453660).

Almost surely, 2^628262824 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 628262824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686517120).

628262824 is an abundant number, since it is smaller than the sum of its proper divisors (744771416).

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

628262824 is a wasteful number, since it uses less digits than its factorization.

628262824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1206 counting only the distinct ones).

The product of its digits is 147456, while the sum is 40.

The square root of 628262824 is about 25065.1715334246. The cubic root of 628262824 is about 856.4732185612.

The spelling of 628262824 in words is "six hundred twenty-eight million, two hundred sixty-two thousand, eight hundred twenty-four".