1628742456 has 96 divisors (see below), whose sum is σ = 4891227120. Its totient is φ = 485452800.

The previous prime is 1628742439. The next prime is 1628742469. The reversal of 1628742456 is 6542478261.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31456 + ... + 65168.

Almost surely, 2^1628742456 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 1628742456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445613560).

1628742456 is an abundant number, since it is smaller than the sum of its proper divisors (3262484664).

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

1628742456 is a wasteful number, since it uses less digits than its factorization.

1628742456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33797 (or 33790 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 1628742456 is about 40357.6814993131. The cubic root of 1628742456 is about 1176.5691920457.

The spelling of 1628742456 in words is "one billion, six hundred twenty-eight million, seven hundred forty-two thousand, four hundred fifty-six".