28737840890880 has 1056 divisors, whose sum is σ = 116130515356800. Its totient is φ = 6726403031040.

The previous prime is 28737840890879. The next prime is 28737840890911. The reversal of 28737840890880 is 8809804873782.

28737840890880 is a `hidden beast` number, since 2 + 8 + 73 + 78 + 408 + 9 + 0 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 28737840890799 and 28737840890808.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 485054539 + ... + 485113781.

Almost surely, 2^{28737840890880} is an apocalyptic number.

28737840890880 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 28737840890880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58065257678400).

28737840890880 is an abundant number, since it is smaller than the sum of its proper divisors (87392674465920).

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

28737840890880 is a wasteful number, since it uses less digits than its factorization.

28737840890880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59328 (or 59293 counting only the distinct ones).

The product of its (nonzero) digits is 346816512, while the sum is 72.

The spelling of 28737840890880 in words is "twenty-eight trillion, seven hundred thirty-seven billion, eight hundred forty million, eight hundred ninety thousand, eight hundred eighty".