28553204502144 has 1024 divisors, whose sum is σ = 103355637120000. Its totient is φ = 7574684958720.

The previous prime is 28553204502131. The next prime is 28553204502157. The reversal of 28553204502144 is 44120540235582.

28553204502144 is a `hidden beast` number, since 2 + 8 + 5 + 53 + 2 + 0 + 450 + 2 + 144 = 666.

It is an interprime number because it is at equal distance from previous prime (28553204502131) and next prime (28553204502157).

It is a self number, because there is not a number n which added to its sum of digits gives 28553204502144.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30343468714 + ... + 30343469654.

It is an arithmetic number, because the mean of its divisors is an integer number (100933239375).

Almost surely, 2^{28553204502144} is an apocalyptic number.

28553204502144 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 28553204502144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51677818560000).

28553204502144 is an abundant number, since it is smaller than the sum of its proper divisors (74802432617856).

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

28553204502144 is a wasteful number, since it uses less digits than its factorization.

28553204502144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

The spelling of 28553204502144 in words is "twenty-eight trillion, five hundred fifty-three billion, two hundred four million, five hundred two thousand, one hundred forty-four".