28171691222400 has 2304 divisors, whose sum is σ = 120623695214400. Its totient is φ = 6393987072000.

The previous prime is 28171691222327. The next prime is 28171691222431. The reversal of 28171691222400 is 422219617182.

28171691222400 is a `hidden beast` number, since 2 + 8 + 1 + 7 + 16 + 9 + 1 + 222 + 400 = 666.

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 287 ways as a sum of consecutive naturals, for example, 52073366130 + ... + 52073366670.

Almost surely, 2^{28171691222400} is an apocalyptic number.

28171691222400 is a gapful number since it is divisible by the number (20) 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 28171691222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60311847607200).

28171691222400 is an abundant number, since it is smaller than the sum of its proper divisors (92452003992000).

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

28171691222400 is a wasteful number, since it uses less digits than its factorization.

28171691222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 28171691222400 in words is "twenty-eight trillion, one hundred seventy-one billion, six hundred ninety-one million, two hundred twenty-two thousand, four hundred".