28746234180 has 264 divisors, whose sum is σ = 91826109144. Its totient is φ = 7558272000.

The previous prime is 28746234151. The next prime is 28746234191. The reversal of 28746234180 is 8143264782.

It is a happy number.

28746234180 is a `hidden beast` number, since 2 + 8 + 7 + 4 + 623 + 4 + 18 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13266893124 + 15479341056 = 115182^2 + 124416^2 .

It is a super-3 number, since 3×28746234180³ (a number of 32 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 119278860 + ... + 119279100.

It is an arithmetic number, because the mean of its divisors is an integer number (347826171).

Almost surely, 2^28746234180 is an apocalyptic number.

28746234180 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 28746234180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45913054572).

28746234180 is an abundant number, since it is smaller than the sum of its proper divisors (63079874964).

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

28746234180 is a wasteful number, since it uses less digits than its factorization.

28746234180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 28746234180 in words is "twenty-eight billion, seven hundred forty-six million, two hundred thirty-four thousand, one hundred eighty".