428215218528 has 48 divisors (see below), whose sum is σ = 1124555742576. Its totient is φ = 142676083200.

The previous prime is 428215218523. The next prime is 428215218659. The reversal of 428215218528 is 825812512824.

428215218528 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

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 (428215218523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 752523 + ... + 1192778.

It is an arithmetic number, because the mean of its divisors is an integer number (23428244637).

Almost surely, 2^428215218528 is an apocalyptic number.

428215218528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

428215218528 is an abundant number, since it is smaller than the sum of its proper divisors (696340524048).

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

428215218528 is a wasteful number, since it uses less digits than its factorization.

428215218528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947607 (or 1947599 counting only the distinct ones).

The product of its digits is 819200, while the sum is 48.

The spelling of 428215218528 in words is "four hundred twenty-eight billion, two hundred fifteen million, two hundred eighteen thousand, five hundred twenty-eight".