28155261435840 has 1260 divisors, whose sum is σ = 123927027639480. Its totient is φ = 5850014607360.

The previous prime is 28155261435793. The next prime is 28155261435859. The reversal of 28155261435840 is 4853416255182.

28155261435840 is a `hidden beast` number, since 2 + 8 + 1 + 5 + 52 + 6 + 1 + 4 + 3 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2066131107 + ... + 2066144733.

Almost surely, 2^{28155261435840} is an apocalyptic number.

28155261435840 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 28155261435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61963513819740).

28155261435840 is an abundant number, since it is smaller than the sum of its proper divisors (95771766203640).

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

28155261435840 is a wasteful number, since it uses less digits than its factorization.

28155261435840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13708 (or 13655 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 28155261435840 in words is "twenty-eight trillion, one hundred fifty-five billion, two hundred sixty-one million, four hundred thirty-five thousand, eight hundred forty".