428171729400 has 96 divisors (see below), whose sum is σ = 1474813753200. Its totient is φ = 114179126400.

The previous prime is 428171729387. The next prime is 428171729413. The reversal of 428171729400 is 4927171824.

428171729400 is a `hidden beast` number, since 4 + 2 + 8 + 171 + 72 + 9 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (428171729387) and next prime (428171729413).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39640131 + ... + 39650930.

Almost surely, 2^428171729400 is an apocalyptic number.

428171729400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428171729400 is an abundant number, since it is smaller than the sum of its proper divisors (1046642023800).

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

428171729400 is a wasteful number, since it uses less digits than its factorization.

428171729400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79291086 (or 79291071 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 428171729400 in words is "four hundred twenty-eight billion, one hundred seventy-one million, seven hundred twenty-nine thousand, four hundred".