628132820 has 96 divisors (see below), whose sum is σ = 1555040256. Its totient is φ = 208656000.

The previous prime is 628132787. The next prime is 628132823. The reversal of 628132820 is 28231826.

It is a super-2 number, since 2×628132820² = 789101679122304800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628132823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 908675 + ... + 909365.

It is an arithmetic number, because the mean of its divisors is an integer number (16198336).

Almost surely, 2^628132820 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 628132820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777520128).

628132820 is an abundant number, since it is smaller than the sum of its proper divisors (926907436).

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

628132820 is a wasteful number, since it uses less digits than its factorization.

628132820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 628132820 is about 25062.5780796789. The cubic root of 628132820 is about 856.4141389207.

The spelling of 628132820 in words is "six hundred twenty-eight million, one hundred thirty-two thousand, eight hundred twenty".