28185433600 has 240 divisors, whose sum is σ = 73257030000. Its totient is φ = 10734796800.

The previous prime is 28185433597. The next prime is 28185433603. The reversal of 28185433600 is 633458182.

It is an interprime number because it is at equal distance from previous prime (28185433597) and next prime (28185433603).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28185433603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22565776 + ... + 22567024.

It is an arithmetic number, because the mean of its divisors is an integer number (305237625).

Almost surely, 2^28185433600 is an apocalyptic number.

28185433600 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 28185433600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36628515000).

28185433600 is an abundant number, since it is smaller than the sum of its proper divisors (45071596400).

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

28185433600 is a wasteful number, since it uses less digits than its factorization.

28185433600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 28185433600 in words is "twenty-eight billion, one hundred eighty-five million, four hundred thirty-three thousand, six hundred".