28262253957120 has 1248 divisors, whose sum is σ = 108502667320320. Its totient is φ = 7040870645760.

The previous prime is 28262253957043. The next prime is 28262253957169. The reversal of 28262253957120 is 2175935226282.

It is a happy number.

28262253957120 is a `hidden beast` number, since 2 + 8 + 2 + 6 + 225 + 395 + 7 + 1 + 20 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4473996202 + ... + 4474002518.

It is an arithmetic number, because the mean of its divisors is an integer number (86941239840).

Almost surely, 2^{28262253957120} is an apocalyptic number.

28262253957120 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 28262253957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54251333660160).

28262253957120 is an abundant number, since it is smaller than the sum of its proper divisors (80240413363200).

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

28262253957120 is an equidigital number, since it uses as much as digits as its factorization.

28262253957120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6421 (or 6387 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 28262253957120 in words is "twenty-eight trillion, two hundred sixty-two billion, two hundred fifty-three million, nine hundred fifty-seven thousand, one hundred twenty".