628177830 has 64 divisors (see below), whose sum is σ = 1729382400. Its totient is φ = 143051904.

The previous prime is 628177819. The next prime is 628177853. The reversal of 628177830 is 38771826.

It is a super-2 number, since 2×628177830² = 789214772207017800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 52771 + ... + 63569.

It is an arithmetic number, because the mean of its divisors is an integer number (27021600).

Almost surely, 2^628177830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628177830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864691200).

628177830 is an abundant number, since it is smaller than the sum of its proper divisors (1101204570).

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

628177830 is a wasteful number, since it uses less digits than its factorization.

628177830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11093.

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 628177830 is about 25063.4760159081. The cubic root of 628177830 is about 856.4345944032.

The spelling of 628177830 in words is "six hundred twenty-eight million, one hundred seventy-seven thousand, eight hundred thirty".