628896096 has 192 divisors, whose sum is σ = 1985679360. Its totient is φ = 192890880.

The previous prime is 628896053. The next prime is 628896109. The reversal of 628896096 is 690698826.

628896096 is a `hidden beast` number, since 6 + 28 + 8 + 9 + 609 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 689881 + ... + 690791.

It is an arithmetic number, because the mean of its divisors is an integer number (10342080).

Almost surely, 2^628896096 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 628896096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992839680).

628896096 is an abundant number, since it is smaller than the sum of its proper divisors (1356783264).

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

628896096 is a wasteful number, since it uses less digits than its factorization.

628896096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 628896096 is about 25077.8008605220. The cubic root of 628896096 is about 856.7608892378.

The spelling of 628896096 in words is "six hundred twenty-eight million, eight hundred ninety-six thousand, ninety-six".