428749394182200 has 432 divisors, whose sum is σ = 1781901337198320. Its totient is φ = 90461410191360.

The previous prime is 428749394182073. The next prime is 428749394182231. The reversal of 428749394182200 is 2281493947824.

It is a happy number.

428749394182200 is a `hidden beast` number, since 4 + 2 + 8 + 7 + 4 + 9 + 3 + 9 + 418 + 2 + 200 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 98544357 + ... + 102803156.

It is an arithmetic number, because the mean of its divisors is an integer number (4124771613885).

Almost surely, 2^{428749394182200} is an apocalyptic number.

428749394182200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428749394182200 is an abundant number, since it is smaller than the sum of its proper divisors (1353151943016120).

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

428749394182200 is a wasteful number, since it uses less digits than its factorization.

428749394182200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201347568 (or 201347543 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 428749394182200 in words is "four hundred twenty-eight trillion, seven hundred forty-nine billion, three hundred ninety-four million, one hundred eighty-two thousand, two hundred".