28012313363328 has 384 divisors, whose sum is σ = 92581192704000. Its totient is φ = 7963838300160.

The previous prime is 28012313363327. The next prime is 28012313363347. The reversal of 28012313363328 is 82336331321082.

28012313363328 is a `hidden beast` number, since 2 + 8 + 0 + 1 + 2 + 3 + 1 + 3 + 3 + 633 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28012313363327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2718845025 + ... + 2718855327.

It is an arithmetic number, because the mean of its divisors is an integer number (241096856000).

Almost surely, 2^{28012313363328} is an apocalyptic number.

28012313363328 is a gapful number since it is divisible by the number (28) 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 28012313363328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46290596352000).

28012313363328 is an abundant number, since it is smaller than the sum of its proper divisors (64568879340672).

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

28012313363328 is a wasteful number, since it uses less digits than its factorization.

28012313363328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11970 (or 11955 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 28012313363328 in words is "twenty-eight trillion, twelve billion, three hundred thirteen million, three hundred sixty-three thousand, three hundred twenty-eight".