628253280 has 192 divisors, whose sum is σ = 2294853120. Its totient is φ = 160224768.

The previous prime is 628253273. The next prime is 628253281. The reversal of 628253280 is 82352826.

628253280 is a `hidden beast` number, since 628 + 2 + 5 + 3 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628253281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96199 + ... + 102521.

It is an arithmetic number, because the mean of its divisors is an integer number (11952360).

Almost surely, 2^628253280 is an apocalyptic number.

628253280 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 628253280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147426560).

628253280 is an abundant number, since it is smaller than the sum of its proper divisors (1666599840).

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

628253280 is a wasteful number, since it uses less digits than its factorization.

628253280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6370 (or 6356 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 628253280 is about 25064.9811490055. The cubic root of 628253280 is about 856.4688816173.

The spelling of 628253280 in words is "six hundred twenty-eight million, two hundred fifty-three thousand, two hundred eighty".