28953282121344 has 1280 divisors, whose sum is σ = 108002081341440. Its totient is φ = 7508555366400.

The previous prime is 28953282121303. The next prime is 28953282121403. The reversal of 28953282121344 is 44312128235982.

It is a happy number.

28953282121344 is a `hidden beast` number, since 2 + 8 + 9 + 5 + 3 + 282 + 12 + 1 + 344 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12659938569 + ... + 12659940855.

It is an arithmetic number, because the mean of its divisors is an integer number (84376626048).

Almost surely, 2^{28953282121344} is an apocalyptic number.

28953282121344 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 28953282121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54001040670720).

28953282121344 is an abundant number, since it is smaller than the sum of its proper divisors (79048799220096).

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

28953282121344 is a wasteful number, since it uses less digits than its factorization.

28953282121344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2699 (or 2678 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 28953282121344 in words is "twenty-eight trillion, nine hundred fifty-three billion, two hundred eighty-two million, one hundred twenty-one thousand, three hundred forty-four".