101628456 has 32 divisors (see below), whose sum is σ = 254664000. Its totient is φ = 33797120.

The previous prime is 101628433. The next prime is 101628487. The reversal of 101628456 is 654826101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6061 + ... + 15491.

It is an arithmetic number, because the mean of its divisors is an integer number (7958250).

Almost surely, 2^101628456 is an apocalyptic number.

It is an amenable number.

101628456 is an abundant number, since it is smaller than the sum of its proper divisors (153035544).

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

101628456 is a wasteful number, since it uses less digits than its factorization.

101628456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9889 (or 9885 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 101628456 is about 10081.0939882535. The cubic root of 101628456 is about 466.6648702879.

The spelling of 101628456 in words is "one hundred one million, six hundred twenty-eight thousand, four hundred fifty-six".