28506971196000 has 960 divisors, whose sum is σ = 117824366499840. Its totient is φ = 6687826560000.

The previous prime is 28506971195999. The next prime is 28506971196043. The reversal of 28506971196000 is 69117960582.

28506971196000 is a `hidden beast` number, since 2 + 8 + 506 + 9 + 71 + 1 + 9 + 60 + 0 + 0 = 666.

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

It is a congruent number.

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, 110354991 + ... + 110613009.

It is an arithmetic number, because the mean of its divisors is an integer number (122733715104).

Almost surely, 2^{28506971196000} is an apocalyptic number.

28506971196000 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 28506971196000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58912183249920).

28506971196000 is an abundant number, since it is smaller than the sum of its proper divisors (89317395303840).

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

28506971196000 is a wasteful number, since it uses less digits than its factorization.

28506971196000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258098 (or 258071 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 28506971196000 in words is "twenty-eight trillion, five hundred six billion, nine hundred seventy-one million, one hundred ninety-six thousand".