28124452681920 has 504 divisors, whose sum is σ = 118452744399600. Its totient is φ = 6090106466304.

The previous prime is 28124452681889. The next prime is 28124452681979. The reversal of 28124452681920 is 2918625442182.

It is a happy number.

28124452681920 is a `hidden beast` number, since 2 + 8 + 1 + 2 + 445 + 2 + 6 + 8 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2563315 + ... + 7925874.

Almost surely, 2^{28124452681920} is an apocalyptic number.

28124452681920 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 28124452681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59226372199800).

28124452681920 is an abundant number, since it is smaller than the sum of its proper divisors (90328291717680).

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

28124452681920 is a wasteful number, since it uses less digits than its factorization.

28124452681920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10489245 (or 10489225 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 28124452681920 in words is "twenty-eight trillion, one hundred twenty-four billion, four hundred fifty-two million, six hundred eighty-one thousand, nine hundred twenty".