428812500641 has 96 divisors (see below), whose sum is σ = 539815772160. Its totient is φ = 332989937280.

The previous prime is 428812500629. The next prime is 428812500653. The reversal of 428812500641 is 146005218824.

It is an interprime number because it is at equal distance from previous prime (428812500629) and next prime (428812500653).

It is not a de Polignac number, because 428812500641 - 2¹⁰ = 428812499617 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (428812500671) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2731289735 + ... + 2731289891.

It is an arithmetic number, because the mean of its divisors is an integer number (5623080960).

Almost surely, 2^428812500641 is an apocalyptic number.

It is an amenable number.

428812500641 is a deficient number, since it is larger than the sum of its proper divisors (111003271519).

428812500641 is a wasteful number, since it uses less digits than its factorization.

428812500641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 41.

The spelling of 428812500641 in words is "four hundred twenty-eight billion, eight hundred twelve million, five hundred thousand, six hundred forty-one".