28597054292352 has 3840 divisors, whose sum is σ = 119426800204800. Its totient is φ = 6613309587456.

The previous prime is 28597054292341. The next prime is 28597054292393. The reversal of 28597054292352 is 25329245079582.

It is a happy number.

28597054292352 is a `hidden beast` number, since 2 + 8 + 59 + 7 + 0 + 542 + 9 + 2 + 35 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 28597054292352.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 321315216724 + ... + 321315216812.

It is an arithmetic number, because the mean of its divisors is an integer number (31100729220).

Almost surely, 2^{28597054292352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28597054292352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59713400102400).

28597054292352 is an abundant number, since it is smaller than the sum of its proper divisors (90829745912448).

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

28597054292352 is a wasteful number, since it uses less digits than its factorization.

28597054292352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 28597054292352 in words is "twenty-eight trillion, five hundred ninety-seven billion, fifty-four million, two hundred ninety-two thousand, three hundred fifty-two".