428628501 has 24 divisors (see below), whose sum is σ = 708524544. Its totient is φ = 244602720.

The previous prime is 428628469. The next prime is 428628511. The reversal of 428628501 is 105826824.

428628501 is a `hidden beast` number, since 4 + 28 + 628 + 5 + 0 + 1 = 666.

It is not a de Polignac number, because 428628501 - 2⁵ = 428628469 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428628511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47580 + ... + 55866.

It is an arithmetic number, because the mean of its divisors is an integer number (29521856).

Almost surely, 2^428628501 is an apocalyptic number.

It is an amenable number.

428628501 is a deficient number, since it is larger than the sum of its proper divisors (279896043).

428628501 is a wasteful number, since it uses less digits than its factorization.

428628501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9121 (or 9118 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 428628501 is about 20703.3451644897. The cubic root of 428628501 is about 753.9809071192.

The spelling of 428628501 in words is "four hundred twenty-eight million, six hundred twenty-eight thousand, five hundred one".