28598725064448 has 1440 divisors, whose sum is σ = 110057834557440. Its totient is φ = 7168352256000.

The previous prime is 28598725064443. The next prime is 28598725064527. The reversal of 28598725064448 is 84446052789582.

It is a happy number.

28598725064448 is a `hidden beast` number, since 2 + 8 + 5 + 9 + 8 + 72 + 50 + 64 + 448 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28598725064443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 25787848918 + ... + 25787850026.

It is an arithmetic number, because the mean of its divisors is an integer number (76429051776).

Almost surely, 2^{28598725064448} is an apocalyptic number.

28598725064448 is a gapful number since it is divisible by the number (28) 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 28598725064448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55028917278720).

28598725064448 is an abundant number, since it is smaller than the sum of its proper divisors (81459109492992).

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

28598725064448 is a wasteful number, since it uses less digits than its factorization.

28598725064448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 1238630400, while the sum is 72.

The spelling of 28598725064448 in words is "twenty-eight trillion, five hundred ninety-eight billion, seven hundred twenty-five million, sixty-four thousand, four hundred forty-eight".