28618812743040 has 2560 divisors, whose sum is σ = 122363098260480. Its totient is φ = 6306398208000.

The previous prime is 28618812743039. The next prime is 28618812743051. The reversal of 28618812743040 is 4034721881682.

28618812743040 is a `hidden beast` number, since 2 + 8 + 6 + 1 + 88 + 127 + 430 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 21664505580 + ... + 21664506900.

It is an arithmetic number, because the mean of its divisors is an integer number (47798085258).

Almost surely, 2^{28618812743040} is an apocalyptic number.

28618812743040 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 28618812743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61181549130240).

28618812743040 is an abundant number, since it is smaller than the sum of its proper divisors (93744285517440).

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

28618812743040 is a wasteful number, since it uses less digits than its factorization.

28618812743040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 28618812743040 in words is "twenty-eight trillion, six hundred eighteen billion, eight hundred twelve million, seven hundred forty-three thousand, forty".