28660283460900 has 2187 divisors, whose sum is σ = 118534419458091. Its totient is φ = 5772561500160.

The previous prime is 28660283460877. The next prime is 28660283460911. The reversal of 28660283460900 is 906438206682.

The square root of 28660283460900 is 5353530.

It is a perfect power (a square), and thus also a powerful number.

28660283460900 is a `hidden beast` number, since 2 + 8 + 6 + 6 + 0 + 28 + 3 + 4 + 609 + 0 + 0 = 666.

It can be written as a sum of positive squares in 40 ways, for example, as 28008375782436 + 651907678464 = 5292294^2 + 807408^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 728 ways as a sum of consecutive naturals, for example, 540760065274 + ... + 540760065326.

Almost surely, 2^{28660283460900} is an apocalyptic number.

28660283460900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28660283460900 is the 5353530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28660283460900

28660283460900 is an abundant number, since it is smaller than the sum of its proper divisors (89874135997191).

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

28660283460900 is a wasteful number, since it uses less digits than its factorization.

28660283460900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 28660283460900 in words is "twenty-eight trillion, six hundred sixty billion, two hundred eighty-three million, four hundred sixty thousand, nine hundred".