419125728 has 48 divisors (see below), whose sum is σ = 1257379200. Its totient is φ = 119750016.

The previous prime is 419125621. The next prime is 419125753. The reversal of 419125728 is 827521914.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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, 311178 + ... + 312521.

It is an arithmetic number, because the mean of its divisors is an integer number (26195400).

Almost surely, 2^419125728 is an apocalyptic number.

419125728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

419125728 is an abundant number, since it is smaller than the sum of its proper divisors (838253472).

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

419125728 is a wasteful number, since it uses less digits than its factorization.

419125728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623719 (or 623711 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

The square root of 419125728 is about 20472.5603674772. The cubic root of 419125728 is about 748.3672498598.

The spelling of 419125728 in words is "four hundred nineteen million, one hundred twenty-five thousand, seven hundred twenty-eight".