628916046 has 64 divisors (see below), whose sum is σ = 1402410240. Its totient is φ = 186416640.

The previous prime is 628916009. The next prime is 628916053. The reversal of 628916046 is 640619826.

It is a junction number, because it is equal to n+sod(n) for n = 628915989 and 628916007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1452246 + ... + 1452678.

It is an arithmetic number, because the mean of its divisors is an integer number (21912660).

Almost surely, 2^628916046 is an apocalyptic number.

628916046 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 628916046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701205120).

628916046 is an abundant number, since it is smaller than the sum of its proper divisors (773494194).

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

628916046 is a wasteful number, since it uses less digits than its factorization.

628916046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881.

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 628916046 is about 25078.1986195181. The cubic root of 628916046 is about 856.7699486034.

The spelling of 628916046 in words is "six hundred twenty-eight million, nine hundred sixteen thousand, forty-six".