628320 has 192 divisors, whose sum is σ = 2612736. Its totient is φ = 122880.

The previous prime is 628319. The next prime is 628357. The reversal of 628320 is 23826.

628320 = T₁₇₅ + T₁₇₆ + ... + T₂₀₈.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 628320.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36952 + ... + 36968.

It is an arithmetic number, because the mean of its divisors is an integer number (13608).

2⁶²⁸³²⁰ is an apocalyptic number.

628320 is a gapful number since it is divisible by the number (60) 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 628320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306368).

628320 is an abundant number, since it is smaller than the sum of its proper divisors (1984416).

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

628320 is a wasteful number, since it uses less digits than its factorization.

628320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 628320 is about 792.6663863190. Note that the first 3 decimals coincide. The cubic root of 628320 is about 85.6499199316.

The spelling of 628320 in words is "six hundred twenty-eight thousand, three hundred twenty".