28433987257104 has 960 divisors, whose sum is σ = 102426719270400. Its totient is φ = 7476001505280.

The previous prime is 28433987257099. The next prime is 28433987257111. The reversal of 28433987257104 is 40175278933482.

It is a happy number.

28433987257104 is a `hidden beast` number, since 2 + 8 + 433 + 98 + 7 + 2 + 5 + 7 + 104 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15052400992 + ... + 15052402880.

It is an arithmetic number, because the mean of its divisors is an integer number (106694499240).

Almost surely, 2^{28433987257104} is an apocalyptic number.

28433987257104 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 28433987257104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51213359635200).

28433987257104 is an abundant number, since it is smaller than the sum of its proper divisors (73992732013296).

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

28433987257104 is a wasteful number, since it uses less digits than its factorization.

28433987257104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3261 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 28433987257104 in words is "twenty-eight trillion, four hundred thirty-three billion, nine hundred eighty-seven million, two hundred fifty-seven thousand, one hundred four".