28487845411200 has 5760 divisors, whose sum is σ = 138820983459840. Its totient is φ = 5616635904000.

The previous prime is 28487845411187. The next prime is 28487845411213. The reversal of 28487845411200 is 211454878482.

28487845411200 is a `hidden beast` number, since 2 + 8 + 4 + 8 + 7 + 84 + 541 + 12 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28487845411187) and next prime (28487845411213).

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 467013859170 + ... + 467013859230.

It is an arithmetic number, because the mean of its divisors is an integer number (24100865184).

Almost surely, 2^{28487845411200} is an apocalyptic number.

28487845411200 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 28487845411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69410491729920).

28487845411200 is an abundant number, since it is smaller than the sum of its proper divisors (110333138048640).

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

28487845411200 is a wasteful number, since it uses less digits than its factorization.

28487845411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 4587520, while the sum is 54.

The spelling of 28487845411200 in words is "twenty-eight trillion, four hundred eighty-seven billion, eight hundred forty-five million, four hundred eleven thousand, two hundred".