628774240 has 96 divisors (see below), whose sum is σ = 1623815424. Its totient is φ = 229048320.

The previous prime is 628774177. The next prime is 628774247. The reversal of 628774240 is 42477826.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 628774193 and 628774202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628774247) 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, 80592 + ... + 88048.

It is an arithmetic number, because the mean of its divisors is an integer number (16914744).

Almost surely, 2^628774240 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 628774240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811907712).

628774240 is an abundant number, since it is smaller than the sum of its proper divisors (995041184).

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

628774240 is a wasteful number, since it uses less digits than its factorization.

628774240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7520 (or 7512 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 40.

The square root of 628774240 is about 25075.3711836934. The cubic root of 628774240 is about 856.7055498374.

The spelling of 628774240 in words is "six hundred twenty-eight million, seven hundred seventy-four thousand, two hundred forty".