28550405145600 has 3168 divisors, whose sum is σ = 127358747268480. Its totient is φ = 6260533493760.

The previous prime is 28550405145551. The next prime is 28550405145641. The reversal of 28550405145600 is 654150405582.

28550405145600 is a `hidden beast` number, since 2 + 8 + 550 + 4 + 0 + 51 + 45 + 6 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 26121138654 + ... + 26121139746.

Almost surely, 2^{28550405145600} is an apocalyptic number.

28550405145600 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 28550405145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63679373634240).

28550405145600 is an abundant number, since it is smaller than the sum of its proper divisors (98808342122880).

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

28550405145600 is a wasteful number, since it uses less digits than its factorization.

28550405145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

The spelling of 28550405145600 in words is "twenty-eight trillion, five hundred fifty billion, four hundred five million, one hundred forty-five thousand, six hundred".