28612034887680 has 544 divisors, whose sum is σ = 101992531651200. Its totient is φ = 7610258423808.

The previous prime is 28612034887643. The next prime is 28612034887687. The reversal of 28612034887680 is 8678843021682.

28612034887680 is a `hidden beast` number, since 2 + 8 + 6 + 1 + 2 + 0 + 3 + 488 + 76 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28612034887687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3618566287 + ... + 3618574193.

Almost surely, 2^{28612034887680} is an apocalyptic number.

28612034887680 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 28612034887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50996265825600).

28612034887680 is an abundant number, since it is smaller than the sum of its proper divisors (73380496763520).

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

28612034887680 is an frugal number, since it uses more digits than its factorization.

28612034887680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8362 (or 8326 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 28612034887680 in words is "twenty-eight trillion, six hundred twelve billion, thirty-four million, eight hundred eighty-seven thousand, six hundred eighty".