628148664 has 288 divisors, whose sum is σ = 2121865200. Its totient is φ = 166458240.

The previous prime is 628148663. The next prime is 628148669. The reversal of 628148664 is 466841826.

628148664 is a `hidden beast` number, since 628 + 14 + 8 + 6 + 6 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (442368) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628148663) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33060447 + ... + 33060465.

Almost surely, 2^628148664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628148664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060932600).

628148664 is an abundant number, since it is smaller than the sum of its proper divisors (1493716536).

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

628148664 is a wasteful number, since it uses less digits than its factorization.

628148664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 48 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 628148664 is about 25062.8941664765. The cubic root of 628148664 is about 856.4213395801.

It can be divided in two parts, 6281 and 48664, that added together give a palindrome (54945).

The spelling of 628148664 in words is "six hundred twenty-eight million, one hundred forty-eight thousand, six hundred sixty-four".