628284864 has 112 divisors (see below), whose sum is σ = 1737360000. Its totient is φ = 200180736.

The previous prime is 628284863. The next prime is 628284869. The reversal of 628284864 is 468482826.

628284864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628284863) 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, 418387 + ... + 419885.

Almost surely, 2^628284864 is an apocalyptic number.

628284864 is a gapful number since it is divisible by the number (64) 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 628284864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868680000).

628284864 is an abundant number, since it is smaller than the sum of its proper divisors (1109075136).

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

628284864 is a wasteful number, since it uses less digits than its factorization.

628284864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1600 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 48.

The square root of 628284864 is about 25065.6111834521. The cubic root of 628284864 is about 856.4832337163.

The spelling of 628284864 in words is "six hundred twenty-eight million, two hundred eighty-four thousand, eight hundred sixty-four".