628204416 has 128 divisors (see below), whose sum is σ = 1926412800. Its totient is φ = 177666048.

The previous prime is 628204411. The next prime is 628204427. The reversal of 628204416 is 614402826.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628204411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275730 + ... + 277998.

It is an arithmetic number, because the mean of its divisors is an integer number (15050100).

Almost surely, 2^628204416 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 628204416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963206400).

628204416 is an abundant number, since it is smaller than the sum of its proper divisors (1298208384).

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

628204416 is a wasteful number, since it uses less digits than its factorization.

628204416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2396 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 628204416 is about 25064.0063836570. The cubic root of 628204416 is about 856.4466763582.

The spelling of 628204416 in words is "six hundred twenty-eight million, two hundred four thousand, four hundred sixteen".