28487253355200 has 672 divisors, whose sum is σ = 110656011758400. Its totient is φ = 7104173506560.

The previous prime is 28487253355151. The next prime is 28487253355201. The reversal of 28487253355200 is 255335278482.

28487253355200 is a `hidden beast` number, since 2 + 8 + 4 + 87 + 2 + 5 + 3 + 3 + 552 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (28487253355201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115177266 + ... + 115424334.

Almost surely, 2^{28487253355200} is an apocalyptic number.

28487253355200 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 28487253355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55328005879200).

28487253355200 is an abundant number, since it is smaller than the sum of its proper divisors (82168758403200).

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

28487253355200 is a wasteful number, since it uses less digits than its factorization.

28487253355200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247274 (or 247253 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 28487253355200 in words is "twenty-eight trillion, four hundred eighty-seven billion, two hundred fifty-three million, three hundred fifty-five thousand, two hundred".