28890493681140 has 432 divisors, whose sum is σ = 111173580161280. Its totient is φ = 6018415603200.

The previous prime is 28890493681117. The next prime is 28890493681207. The reversal of 28890493681140 is 4118639409882.

28890493681140 is a `hidden beast` number, since 2 + 8 + 8 + 90 + 49 + 368 + 1 + 140 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7463415 + ... + 10652865.

Almost surely, 2^{28890493681140} is an apocalyptic number.

28890493681140 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 28890493681140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55586790080640).

28890493681140 is an abundant number, since it is smaller than the sum of its proper divisors (82283086480140).

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

28890493681140 is a wasteful number, since it uses less digits than its factorization.

28890493681140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3189572 (or 3189560 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 28890493681140 in words is "twenty-eight trillion, eight hundred ninety billion, four hundred ninety-three million, six hundred eighty-one thousand, one hundred forty".