28202987151360 has 1344 divisors, whose sum is σ = 117288959703552. Its totient is φ = 6367423758336.

The previous prime is 28202987151331. The next prime is 28202987151373. The reversal of 28202987151360 is 6315178920282.

28202987151360 is a `hidden beast` number, since 2 + 8 + 20 + 29 + 87 + 1 + 513 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 28202987151297 and 28202987151306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5782853242 + ... + 5782858118.

It is an arithmetic number, because the mean of its divisors is an integer number (87268571208).

Almost surely, 2^{28202987151360} is an apocalyptic number.

28202987151360 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 28202987151360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58644479851776).

28202987151360 is an abundant number, since it is smaller than the sum of its proper divisors (89085972552192).

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

28202987151360 is an frugal number, since it uses more digits than its factorization.

28202987151360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5013 (or 4977 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 28202987151360 in words is "twenty-eight trillion, two hundred two billion, nine hundred eighty-seven million, one hundred fifty-one thousand, three hundred sixty".