28953170064000 has 6144 divisors, whose sum is σ = 144011492352000. Its totient is φ = 5611261132800.

The previous prime is 28953170063999. The next prime is 28953170064023. The reversal of 28953170064000 is 46007135982.

28953170064000 is a `hidden beast` number, since 2 + 8 + 9 + 531 + 70 + 0 + 6 + 40 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 396618767964 + ... + 396618768036.

It is an arithmetic number, because the mean of its divisors is an integer number (23439370500).

It is a 2-persistent number, because it is pandigital, and so is 2⋅28953170064000 = 57906340128000, but 3⋅28953170064000 = 86859510192000 is not.

Almost surely, 2^{28953170064000} is an apocalyptic number.

28953170064000 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 28953170064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72005746176000).

28953170064000 is an abundant number, since it is smaller than the sum of its proper divisors (115058322288000).

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

28953170064000 is a wasteful number, since it uses less digits than its factorization.

28953170064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

Adding to 28953170064000 its reverse (46007135982), we get a palindrome (28999177199982).

The spelling of 28953170064000 in words is "twenty-eight trillion, nine hundred fifty-three billion, one hundred seventy million, sixty-four thousand".