28510266470400 has 3510 divisors, whose sum is σ = 127722361521348. Its totient is φ = 6231549542400.

The previous prime is 28510266470381. The next prime is 28510266470407. The reversal of 28510266470400 is 407466201582.

28510266470400 is a `hidden beast` number, since 2 + 8 + 510 + 2 + 6 + 64 + 70 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3510).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (28510266470407) by changing a digit.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 663029452779 + ... + 663029452821.

Almost surely, 2^{28510266470400} is an apocalyptic number.

28510266470400 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 28510266470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63861180760674).

28510266470400 is an abundant number, since it is smaller than the sum of its proper divisors (99212095050948).

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

28510266470400 is a wasteful number, since it uses less digits than its factorization.

28510266470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 28510266470400 in words is "twenty-eight trillion, five hundred ten billion, two hundred sixty-six million, four hundred seventy thousand, four hundred".