28598400000 has 528 divisors, whose sum is σ = 106181328960. Its totient is φ = 7603200000.

The previous prime is 28598399989. The next prime is 28598400029. The reversal of 28598400000 is 489582.

28598400000 is a `hidden beast` number, since 28 + 598 + 40 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 86399835 + ... + 86400165.

Almost surely, 2^28598400000 is an apocalyptic number.

28598400000 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 28598400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53090664480).

28598400000 is an abundant number, since it is smaller than the sum of its proper divisors (77582928960).

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

28598400000 is an frugal number, since it uses more digits than its factorization.

28598400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 28598400000 its reverse (489582), we get a palindrome (28598889582).

The spelling of 28598400000 in words is "twenty-eight billion, five hundred ninety-eight million, four hundred thousand".