28401768907560 has 1536 divisors, whose sum is σ = 110686022553600. Its totient is φ = 6267469824000.

The previous prime is 28401768907553. The next prime is 28401768907591. The reversal of 28401768907560 is 6570986710482.

28401768907560 is a `hidden beast` number, since 2 + 8 + 4 + 0 + 1 + 7 + 68 + 9 + 0 + 7 + 560 = 666.

It is a Cunningham number, because it is equal to 5329331²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7098665560 + ... + 7098669560.

It is an arithmetic number, because the mean of its divisors is an integer number (72061212600).

Almost surely, 2^{28401768907560} is an apocalyptic number.

28401768907560 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 28401768907560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55343011276800).

28401768907560 is an abundant number, since it is smaller than the sum of its proper divisors (82284253646040).

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

28401768907560 is a wasteful number, since it uses less digits than its factorization.

28401768907560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4171 (or 4164 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 28401768907560 in words is "twenty-eight trillion, four hundred one billion, seven hundred sixty-eight million, nine hundred seven thousand, five hundred sixty".