28771265217600 has 756 divisors, whose sum is σ = 105951371230692. Its totient is φ = 7404726067200.

The previous prime is 28771265217593. The next prime is 28771265217641. The reversal of 28771265217600 is 671256217782.

28771265217600 is a `hidden beast` number, since 2 + 8 + 7 + 7 + 1 + 2 + 6 + 5 + 21 + 7 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 583830471744 + 28187434745856 = 764088^2 + 5309184^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5493842182 + ... + 5493847418.

Almost surely, 2^{28771265217600} is an apocalyptic number.

28771265217600 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 28771265217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52975685615346).

28771265217600 is an abundant number, since it is smaller than the sum of its proper divisors (77180106013092).

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

28771265217600 is a wasteful number, since it uses less digits than its factorization.

28771265217600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5724 (or 5675 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 28771265217600 in words is "twenty-eight trillion, seven hundred seventy-one billion, two hundred sixty-five million, two hundred seventeen thousand, six hundred".