28245231758304 has 288 divisors, whose sum is σ = 91643050840320. Its totient is φ = 8456036117760.

The previous prime is 28245231758179. The next prime is 28245231758327. The reversal of 28245231758304 is 40385713254282.

28245231758304 is a `hidden beast` number, since 2 + 8 + 2 + 4 + 52 + 3 + 1 + 7 + 583 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 7049589 + ... + 10304715.

It is an arithmetic number, because the mean of its divisors is an integer number (318205037640).

Almost surely, 2^{28245231758304} is an apocalyptic number.

28245231758304 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 28245231758304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45821525420160).

28245231758304 is an abundant number, since it is smaller than the sum of its proper divisors (63397819082016).

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

28245231758304 is a wasteful number, since it uses less digits than its factorization.

28245231758304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3255251 (or 3255226 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 28245231758304 in words is "twenty-eight trillion, two hundred forty-five billion, two hundred thirty-one million, seven hundred fifty-eight thousand, three hundred four".