28533654864 has 280 divisors, whose sum is σ = 97384621152. Its totient is φ = 7980975360.

The previous prime is 28533654823. The next prime is 28533654881. The reversal of 28533654864 is 46845633582.

28533654864 is a `hidden beast` number, since 2 + 8 + 5 + 3 + 36 + 548 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 28533654864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1659399 + ... + 1676505.

Almost surely, 2^28533654864 is an apocalyptic number.

28533654864 is a gapful number since it is divisible by the number (24) 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 28533654864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48692310576).

28533654864 is an abundant number, since it is smaller than the sum of its proper divisors (68850966288).

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

28533654864 is a wasteful number, since it uses less digits than its factorization.

28533654864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17157 (or 17136 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 28533654864 in words is "twenty-eight billion, five hundred thirty-three million, six hundred fifty-four thousand, eight hundred sixty-four".