28263292151040 has 864 divisors, whose sum is σ = 109107735609600. Its totient is φ = 6712916705280.

The previous prime is 28263292150997. The next prime is 28263292151041. The reversal of 28263292151040 is 4015129236282.

28263292151040 is a `hidden beast` number, since 2 + 8 + 2 + 6 + 3 + 2 + 92 + 1 + 510 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28263292151041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3947934981 + ... + 3947942139.

It is an arithmetic number, because the mean of its divisors is an integer number (126282101400).

Almost surely, 2^{28263292151040} is an apocalyptic number.

28263292151040 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 28263292151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54553867804800).

28263292151040 is an abundant number, since it is smaller than the sum of its proper divisors (80844443458560).

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

28263292151040 is a wasteful number, since it uses less digits than its factorization.

28263292151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8283 (or 8266 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 28263292151040 in words is "twenty-eight trillion, two hundred sixty-three billion, two hundred ninety-two million, one hundred fifty-one thousand, forty".