628176240 has 120 divisors (see below), whose sum is σ = 2133546480. Its totient is φ = 165614592.

The previous prime is 628176239. The next prime is 628176251. The reversal of 628176240 is 42671826.

628176240 is a `hidden beast` number, since 6 + 28 + 1 + 7 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 628176195 and 628176204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59179 + ... + 68981.

It is an arithmetic number, because the mean of its divisors is an integer number (17779554).

Almost surely, 2^628176240 is an apocalyptic number.

628176240 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 628176240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066773240).

628176240 is an abundant number, since it is smaller than the sum of its proper divisors (1505370240).

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

628176240 is a wasteful number, since it uses less digits than its factorization.

628176240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9911 (or 9902 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 628176240 is about 25063.4442964250. Note that the first 3 decimals coincide. The cubic root of 628176240 is about 856.4338718200.

The spelling of 628176240 in words is "six hundred twenty-eight million, one hundred seventy-six thousand, two hundred forty".