28354868855040 has 864 divisors, whose sum is σ = 113850391003776. Its totient is φ = 5961280389120.

The previous prime is 28354868855039. The next prime is 28354868855099. The reversal of 28354868855040 is 4055886845382.

It is a Cunningham number, because it is equal to 5324929²-1.

It is a super-3 number, since 3×28354868855040³ (a number of 41 digits) contains 333 as substring.

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, 692220160 + ... + 692261120.

It is an arithmetic number, because the mean of its divisors is an integer number (131771285884).

Almost surely, 2^{28354868855040} is an apocalyptic number.

28354868855040 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 28354868855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56925195501888).

28354868855040 is an abundant number, since it is smaller than the sum of its proper divisors (85495522148736).

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

28354868855040 is a wasteful number, since it uses less digits than its factorization.

28354868855040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41295 (or 41274 counting only the distinct ones).

The product of its (nonzero) digits is 294912000, while the sum is 66.

The spelling of 28354868855040 in words is "twenty-eight trillion, three hundred fifty-four billion, eight hundred sixty-eight million, eight hundred fifty-five thousand, forty".