28195969224384 has 1344 divisors, whose sum is σ = 94813524449280. Its totient is φ = 7944018001920.

The previous prime is 28195969224373. The next prime is 28195969224421. The reversal of 28195969224384 is 48342296959182.

28195969224384 is a `hidden beast` number, since 2 + 8 + 1 + 9 + 596 + 9 + 2 + 24 + 3 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 90082968612 + ... + 90082968924.

It is an arithmetic number, because the mean of its divisors is an integer number (70545777120).

Almost surely, 2^{28195969224384} is an apocalyptic number.

28195969224384 is a gapful number since it is divisible by the number (24) 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 28195969224384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47406762224640).

28195969224384 is an abundant number, since it is smaller than the sum of its proper divisors (66617555224896).

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

28195969224384 is a wasteful number, since it uses less digits than its factorization.

28195969224384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 617 counting only the distinct ones).

The product of its digits is 537477120, while the sum is 72.

The spelling of 28195969224384 in words is "twenty-eight trillion, one hundred ninety-five billion, nine hundred sixty-nine million, two hundred twenty-four thousand, three hundred eighty-four".