28426940285184 has 720 divisors, whose sum is σ = 103808103493248. Its totient is φ = 7552065798144.

The previous prime is 28426940285153. The next prime is 28426940285299. The reversal of 28426940285184 is 48158204962482.

28426940285184 is a `hidden beast` number, since 2 + 8 + 4 + 2 + 6 + 94 + 0 + 28 + 518 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 204740074 + ... + 204878870.

Almost surely, 2^{28426940285184} is an apocalyptic number.

28426940285184 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 28426940285184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51904051746624).

28426940285184 is an abundant number, since it is smaller than the sum of its proper divisors (75381163208064).

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

28426940285184 is a wasteful number, since it uses less digits than its factorization.

28426940285184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138932 (or 138909 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 28426940285184 in words is "twenty-eight trillion, four hundred twenty-six billion, nine hundred forty million, two hundred eighty-five thousand, one hundred eighty-four".