28267414101144 has 48 divisors (see below), whose sum is σ = 76754386051200. Its totient is φ = 9398249066304.

The previous prime is 28267414101137. The next prime is 28267414101181. The reversal of 28267414101144 is 44110141476282.

28267414101144 is a `hidden beast` number, since 2 + 8 + 26 + 74 + 1 + 410 + 1 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 28267414101144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 504603064 + ... + 504659079.

It is an arithmetic number, because the mean of its divisors is an integer number (1599049709400).

Almost surely, 2^{28267414101144} is an apocalyptic number.

28267414101144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28267414101144 is an abundant number, since it is smaller than the sum of its proper divisors (48486971950056).

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

28267414101144 is a wasteful number, since it uses less digits than its factorization.

28267414101144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009262544 (or 1009262537 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 28267414101144 in words is "twenty-eight trillion, two hundred sixty-seven billion, four hundred fourteen million, one hundred one thousand, one hundred forty-four".