428188452021 has 48 divisors (see below), whose sum is σ = 691353569088. Its totient is φ = 253114310400.

The previous prime is 428188452019. The next prime is 428188452053. The reversal of 428188452021 is 120254881824.

It is a happy number.

428188452021 is a `hidden beast` number, since 4 + 28 + 1 + 8 + 84 + 520 + 21 = 666.

It is not a de Polignac number, because 428188452021 - 2¹ = 428188452019 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428188452001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19419415 + ... + 19441451.

It is an arithmetic number, because the mean of its divisors is an integer number (14403199356).

Almost surely, 2^428188452021 is an apocalyptic number.

428188452021 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

428188452021 is a deficient number, since it is larger than the sum of its proper divisors (263165117067).

428188452021 is a wasteful number, since it uses less digits than its factorization.

428188452021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26882 (or 26879 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The spelling of 428188452021 in words is "four hundred twenty-eight billion, one hundred eighty-eight million, four hundred fifty-two thousand, twenty-one".