28267432456536 has 864 divisors, whose sum is σ = 99004813427520. Its totient is φ = 7257592742400.

The previous prime is 28267432456489. The next prime is 28267432456567. The reversal of 28267432456536 is 63565423476282.

28267432456536 is a `hidden beast` number, since 2 + 8 + 2 + 6 + 7 + 4 + 32 + 4 + 565 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 8486168391 + ... + 8486171721.

It is an arithmetic number, because the mean of its divisors is an integer number (114588904430).

Almost surely, 2^{28267432456536} is an apocalyptic number.

28267432456536 is a gapful number since it is divisible by the number (26) 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 28267432456536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49502406713760).

28267432456536 is an abundant number, since it is smaller than the sum of its proper divisors (70737380970984).

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

28267432456536 is a wasteful number, since it uses less digits than its factorization.

28267432456536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3757 (or 3730 counting only the distinct ones).

The product of its digits is 348364800, while the sum is 63.

The spelling of 28267432456536 in words is "twenty-eight trillion, two hundred sixty-seven billion, four hundred thirty-two million, four hundred fifty-six thousand, five hundred thirty-six".