428962100 has 72 divisors (see below), whose sum is σ = 1077431040. Its totient is φ = 145192320.

The previous prime is 428962099. The next prime is 428962117. The reversal of 428962100 is 1269824.

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 23 ways as a sum of consecutive naturals, for example, 51422 + ... + 59178.

It is an arithmetic number, because the mean of its divisors is an integer number (14964320).

Almost surely, 2^428962100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428962100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538715520).

428962100 is an abundant number, since it is smaller than the sum of its proper divisors (648468940).

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

428962100 is a wasteful number, since it uses less digits than its factorization.

428962100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7857 (or 7850 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 428962100 is about 20711.4002423786. The cubic root of 428962100 is about 754.1764626724.

The spelling of 428962100 in words is "four hundred twenty-eight million, nine hundred sixty-two thousand, one hundred".