28071881562816 has 1008 divisors, whose sum is σ = 101194928440320. Its totient is φ = 7284158668800.

The previous prime is 28071881562793. The next prime is 28071881562821. The reversal of 28071881562816 is 61826518817082.

28071881562816 is a `hidden beast` number, since 28 + 0 + 7 + 188 + 156 + 281 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-3 number, since 3×28071881562816³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11215293021 + ... + 11215295523.

Almost surely, 2^{28071881562816} is an apocalyptic number.

28071881562816 is a gapful number since it is divisible by the number (26) 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 28071881562816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50597464220160).

28071881562816 is an abundant number, since it is smaller than the sum of its proper divisors (73123046877504).

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

28071881562816 is a wasteful number, since it uses less digits than its factorization.

28071881562816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2814 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 63.

The spelling of 28071881562816 in words is "twenty-eight trillion, seventy-one billion, eight hundred eighty-one million, five hundred sixty-two thousand, eight hundred sixteen".