28267787840292 has 384 divisors, whose sum is σ = 98526723563520. Its totient is φ = 6768703802880.

The previous prime is 28267787840267. The next prime is 28267787840297. The reversal of 28267787840292 is 29204878776282.

28267787840292 is a `hidden beast` number, since 2 + 8 + 2 + 67 + 7 + 8 + 78 + 402 + 92 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 28267787840292.

It is not an unprimeable number, because it can be changed into a prime (28267787840297) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 83398353 + ... + 83736615.

It is an arithmetic number, because the mean of its divisors is an integer number (256580009280).

Almost surely, 2^{28267787840292} is an apocalyptic number.

28267787840292 is a gapful number since it is divisible by the number (22) 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 28267787840292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49263361781760).

28267787840292 is an abundant number, since it is smaller than the sum of its proper divisors (70258935723228).

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

28267787840292 is a wasteful number, since it uses less digits than its factorization.

28267787840292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339080 (or 339072 counting only the distinct ones).

The product of its (nonzero) digits is 606928896, while the sum is 72.

The spelling of 28267787840292 in words is "twenty-eight trillion, two hundred sixty-seven billion, seven hundred eighty-seven million, eight hundred forty thousand, two hundred ninety-two".