428681952 has 72 divisors (see below), whose sum is σ = 1283241960. Its totient is φ = 135371520.

The previous prime is 428681947. The next prime is 428681999. The reversal of 428681952 is 259186824.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 428681898 and 428681907.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 33699 + ... + 44642.

It is an arithmetic number, because the mean of its divisors is an integer number (17822805).

Almost surely, 2^428681952 is an apocalyptic number.

It is an amenable number.

428681952 is an abundant number, since it is smaller than the sum of its proper divisors (854560008).

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

428681952 is a wasteful number, since it uses less digits than its factorization.

428681952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78376 (or 78365 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 428681952 is about 20704.6360025961. The cubic root of 428681952 is about 754.0122468912.

The spelling of 428681952 in words is "four hundred twenty-eight million, six hundred eighty-one thousand, nine hundred fifty-two".