28758005156160 has 896 divisors, whose sum is σ = 117671166028800. Its totient is φ = 6475931320320.

The previous prime is 28758005156143. The next prime is 28758005156183. The reversal of 28758005156160 is 6165150085782.

28758005156160 is a `hidden beast` number, since 2 + 8 + 7 + 5 + 8 + 0 + 0 + 5 + 15 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 28758005156097 and 28758005156106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1512534814 + ... + 1512553826.

Almost surely, 2^{28758005156160} is an apocalyptic number.

28758005156160 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 28758005156160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58835583014400).

28758005156160 is an abundant number, since it is smaller than the sum of its proper divisors (88913160872640).

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

28758005156160 is a wasteful number, since it uses less digits than its factorization.

28758005156160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19416 (or 19400 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

The spelling of 28758005156160 in words is "twenty-eight trillion, seven hundred fifty-eight billion, five million, one hundred fifty-six thousand, one hundred sixty".