28171962000 has 1440 divisors, whose sum is σ = 128854252800. Its totient is φ = 5943974400.

The previous prime is 28171961981. The next prime is 28171962031. The reversal of 28171962000 is 26917182.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

28171962000 is a `hidden beast` number, since 2 + 8 + 17 + 19 + 620 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2167073994 + ... + 2167074006.

It is an arithmetic number, because the mean of its divisors is an integer number (89482120).

Almost surely, 2^28171962000 is an apocalyptic number.

28171962000 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 28171962000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64427126400).

28171962000 is an abundant number, since it is smaller than the sum of its proper divisors (100682290800).

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

28171962000 is an equidigital number, since it uses as much as digits as its factorization.

28171962000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 28171962000 in words is "twenty-eight billion, one hundred seventy-one million, nine hundred sixty-two thousand".