628145280 has 384 divisors, whose sum is σ = 2575198080. Its totient is φ = 143327232.

The previous prime is 628145279. The next prime is 628145303. The reversal of 628145280 is 82541826.

628145280 is a `hidden beast` number, since 628 + 1 + 4 + 5 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1088352 + ... + 1088928.

It is an arithmetic number, because the mean of its divisors is an integer number (6706245).

Almost surely, 2^628145280 is an apocalyptic number.

628145280 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 628145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287599040).

628145280 is an abundant number, since it is smaller than the sum of its proper divisors (1947052800).

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

628145280 is an equidigital number, since it uses as much as digits as its factorization.

628145280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 628145280 is about 25062.8266562254. The cubic root of 628145280 is about 856.4198016560.

The spelling of 628145280 in words is "six hundred twenty-eight million, one hundred forty-five thousand, two hundred eighty".