28991016325440 has 336 divisors, whose sum is σ = 107416886723328. Its totient is φ = 7134301089792.

The previous prime is 28991016325409. The next prime is 28991016325459. The reversal of 28991016325440 is 4452361019982.

It is a happy number.

28991016325440 is a `hidden beast` number, since 2 + 8 + 9 + 9 + 10 + 163 + 25 + 440 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139434999 + ... + 139642761.

It is an arithmetic number, because the mean of its divisors is an integer number (319693115248).

Almost surely, 2^{28991016325440} is an apocalyptic number.

28991016325440 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 28991016325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53708443361664).

28991016325440 is an abundant number, since it is smaller than the sum of its proper divisors (78425870397888).

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

28991016325440 is a wasteful number, since it uses less digits than its factorization.

28991016325440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211526 (or 211513 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 28991016325440 in words is "twenty-eight trillion, nine hundred ninety-one billion, sixteen million, three hundred twenty-five thousand, four hundred forty".