28144417392 has 480 divisors, whose sum is σ = 101451284480. Its totient is φ = 7084247040.

The previous prime is 28144417381. The next prime is 28144417453. The reversal of 28144417392 is 29371444182.

28144417392 is a `hidden beast` number, since 2 + 8 + 144 + 417 + 3 + 92 = 666.

It is a super-2 number, since 2×28144417392² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 32091258 + ... + 32092134.

Almost surely, 2^28144417392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28144417392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50725642240).

28144417392 is an abundant number, since it is smaller than the sum of its proper divisors (73306867088).

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

28144417392 is a wasteful number, since it uses less digits than its factorization.

28144417392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1012 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 28144417392 in words is "twenty-eight billion, one hundred forty-four million, four hundred seventeen thousand, three hundred ninety-two".