428137200 has 90 divisors (see below), whose sum is σ = 1485767504. Its totient is φ = 114168960.

The previous prime is 428137183. The next prime is 428137207. The reversal of 428137200 is 2731824.

428137200 is a `hidden beast` number, since 428 + 1 + 37 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428137207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55864 + ... + 63063.

Almost surely, 2^428137200 is an apocalyptic number.

428137200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428137200 is an abundant number, since it is smaller than the sum of its proper divisors (1057630304).

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

428137200 is a wasteful number, since it uses less digits than its factorization.

428137200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118951 (or 118937 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 428137200 is about 20691.4765060399. The cubic root of 428137200 is about 753.6927219001.

The spelling of 428137200 in words is "four hundred twenty-eight million, one hundred thirty-seven thousand, two hundred".