28523485440000 has 720 divisors, whose sum is σ = 103484827145700. Its totient is φ = 7566262272000.

The previous prime is 28523485439921. The next prime is 28523485440013. The reversal of 28523485440000 is 4458432582.

28523485440000 is a `hidden beast` number, since 2 + 8 + 5 + 234 + 8 + 5 + 4 + 400 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 1987964642304 + 26535520797696 = 1409952^2 + 5151264^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 59 ways as a sum of consecutive naturals, for example, 2223353586 + ... + 2223366414.

Almost surely, 2^{28523485440000} is an apocalyptic number.

28523485440000 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 28523485440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51742413572850).

28523485440000 is an abundant number, since it is smaller than the sum of its proper divisors (74961341705700).

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

28523485440000 is a wasteful number, since it uses less digits than its factorization.

28523485440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13070 (or 13032 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 28523485440000 in words is "twenty-eight trillion, five hundred twenty-three billion, four hundred eighty-five million, four hundred forty thousand".