28761739718400 has 1512 divisors, whose sum is σ = 115507962902640. Its totient is φ = 7045250088960.

The previous prime is 28761739718399. The next prime is 28761739718417. The reversal of 28761739718400 is 481793716782.

28761739718400 is a `hidden beast` number, since 2 + 8 + 7 + 61 + 7 + 397 + 184 + 0 + 0 = 666.

It is a super-2 number, since 2×28761739718400² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 13768184556 + ... + 13768186644.

Almost surely, 2^{28761739718400} is an apocalyptic number.

28761739718400 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 28761739718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57753981451320).

28761739718400 is an abundant number, since it is smaller than the sum of its proper divisors (86746223184240).

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

28761739718400 is a wasteful number, since it uses less digits than its factorization.

28761739718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2373 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 28761739718400 in words is "twenty-eight trillion, seven hundred sixty-one billion, seven hundred thirty-nine million, seven hundred eighteen thousand, four hundred".