628000128 has 320 divisors, whose sum is σ = 2265991200. Its totient is φ = 168542208.

The previous prime is 628000117. The next prime is 628000129. The reversal of 628000128 is 821000826.

628000128 is nontrivially palindromic in base 15.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628000129) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1233538 + ... + 1234046.

Almost surely, 2^628000128 is an apocalyptic number.

628000128 is a gapful number since it is divisible by the number (68) 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 628000128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132995600).

628000128 is an abundant number, since it is smaller than the sum of its proper divisors (1637991072).

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

628000128 is a wasteful number, since it uses less digits than its factorization.

628000128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 628000128 is about 25059.9307261612. The cubic root of 628000128 is about 856.3538293257.

The spelling of 628000128 in words is "six hundred twenty-eight million, one hundred twenty-eight", and thus it is an aban number.