28351616993280 has 1728 divisors, whose sum is σ = 118394360622720. Its totient is φ = 6374048661504.

The previous prime is 28351616993263. The next prime is 28351616993327. The reversal of 28351616993280 is 8239961615382.

28351616993280 is a `hidden beast` number, since 2 + 8 + 3 + 5 + 1 + 616 + 9 + 9 + 3 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×28351616993280² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 206946109372 + ... + 206946109508.

It is an arithmetic number, because the mean of its divisors is an integer number (68515254990).

Almost surely, 2^{28351616993280} is an apocalyptic number.

28351616993280 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 28351616993280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59197180311360).

28351616993280 is an abundant number, since it is smaller than the sum of its proper divisors (90042743629440).

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

28351616993280 is an equidigital number, since it uses as much as digits as its factorization.

28351616993280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 28351616993280 in words is "twenty-eight trillion, three hundred fifty-one billion, six hundred sixteen million, nine hundred ninety-three thousand, two hundred eighty".