428526914850 has 288 divisors, whose sum is σ = 1231931151360. Its totient is φ = 106478064000.

The previous prime is 428526914797. The next prime is 428526914861. The reversal of 428526914850 is 58419625824.

428526914850 is a `hidden beast` number, since 4 + 28 + 52 + 6 + 91 + 485 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 441324865 + ... + 441325835.

It is an arithmetic number, because the mean of its divisors is an integer number (4277538720).

Almost surely, 2^428526914850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428526914850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615965575680).

428526914850 is an abundant number, since it is smaller than the sum of its proper divisors (803404236510).

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

428526914850 is a wasteful number, since it uses less digits than its factorization.

428526914850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 428526914850 in words is "four hundred twenty-eight billion, five hundred twenty-six million, nine hundred fourteen thousand, eight hundred fifty".