428952600 has 72 divisors (see below), whose sum is σ = 1440571860. Its totient is φ = 114386880.

The previous prime is 428952583. The next prime is 428952613. The reversal of 428952600 is 6259824.

It is a happy number.

428952600 is a `hidden beast` number, since 42 + 8 + 9 + 5 + 2 + 600 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 117354 + ... + 120953.

Almost surely, 2^428952600 is an apocalyptic number.

428952600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428952600 is an abundant number, since it is smaller than the sum of its proper divisors (1011619260).

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

428952600 is a wasteful number, since it uses less digits than its factorization.

428952600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238329 (or 238317 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 428952600 is about 20711.1708988169. The cubic root of 428952600 is about 754.1708951803.

The spelling of 428952600 in words is "four hundred twenty-eight million, nine hundred fifty-two thousand, six hundred".