628901952 has 224 divisors, whose sum is σ = 1984760064. Its totient is φ = 172032000.

The previous prime is 628901951. The next prime is 628901953. The reversal of 628901952 is 259109826.

It is an interprime number because it is at equal distance from previous prime (628901951) and next prime (628901953).

It is a tau number, because it is divible by the number of its divisors (224).

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

It is not an unprimeable number, because it can be changed into a prime (628901951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5565448 + ... + 5565560.

It is an arithmetic number, because the mean of its divisors is an integer number (8860536).

Almost surely, 2^628901952 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 628901952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992380032).

628901952 is an abundant number, since it is smaller than the sum of its proper divisors (1355858112).

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

628901952 is a wasteful number, since it uses less digits than its factorization.

628901952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 628901952 is about 25077.9176168995. The cubic root of 628901952 is about 856.7635484880.

The spelling of 628901952 in words is "six hundred twenty-eight million, nine hundred one thousand, nine hundred fifty-two".