628497408 has 176 divisors, whose sum is σ = 2089315584. Its totient is φ = 163184640.

The previous prime is 628497407. The next prime is 628497433. The reversal of 628497408 is 804794826.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628497403) 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 15 ways as a sum of consecutive naturals, for example, 235216 + ... + 237872.

Almost surely, 2^628497408 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 628497408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044657792).

628497408 is an abundant number, since it is smaller than the sum of its proper divisors (1460818176).

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

628497408 is a wasteful number, since it uses less digits than its factorization.

628497408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2698 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 628497408 is about 25069.8505779352. The cubic root of 628497408 is about 856.5798034196.

The spelling of 628497408 in words is "six hundred twenty-eight million, four hundred ninety-seven thousand, four hundred eight".