428149546675200 has 4224 divisors, whose sum is σ = 1920080078438400. Its totient is φ = 91418886144000.

The previous prime is 428149546675189. The next prime is 428149546675217. The reversal of 428149546675200 is 2576645941824.

428149546675200 is a `hidden beast` number, since 4 + 2 + 8 + 1 + 4 + 9 + 5 + 46 + 67 + 520 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 993386418985 + ... + 993386419415.

Almost surely, 2^{428149546675200} is an apocalyptic number.

428149546675200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428149546675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960040039219200).

428149546675200 is an abundant number, since it is smaller than the sum of its proper divisors (1491930531763200).

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

428149546675200 is a wasteful number, since it uses less digits than its factorization.

428149546675200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 428149546675200 in words is "four hundred twenty-eight trillion, one hundred forty-nine billion, five hundred forty-six million, six hundred seventy-five thousand, two hundred".