28573171200 has 1200 divisors, whose sum is σ = 125739761664. Its totient is φ = 6270566400.

The previous prime is 28573171189. The next prime is 28573171217. The reversal of 28573171200 is 217137582.

28573171200 is a `hidden beast` number, since 285 + 7 + 3 + 171 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×28573171200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 224985537 + ... + 224985663.

Almost surely, 2^28573171200 is an apocalyptic number.

28573171200 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 28573171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62869880832).

28573171200 is an abundant number, since it is smaller than the sum of its proper divisors (97166590464).

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

28573171200 is a wasteful number, since it uses less digits than its factorization.

28573171200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 28573171200 in words is "twenty-eight billion, five hundred seventy-three million, one hundred seventy-one thousand, two hundred".