28477248839424 has 5184 divisors, whose sum is σ = 126303203819520. Its totient is φ = 5956042752000.

The previous prime is 28477248839399. The next prime is 28477248839573. The reversal of 28477248839424 is 42493884277482.

28477248839424 is a `hidden beast` number, since 2 + 8 + 4 + 7 + 72 + 488 + 39 + 42 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 694567044844 + ... + 694567044884.

Almost surely, 2^{28477248839424} is an apocalyptic number.

28477248839424 is a gapful number since it is divisible by the number (24) 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 28477248839424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63151601909760).

28477248839424 is an abundant number, since it is smaller than the sum of its proper divisors (97825954980096).

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

28477248839424 is a wasteful number, since it uses less digits than its factorization.

28477248839424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 154 counting only the distinct ones).

The product of its digits is 1387266048, while the sum is 72.

The spelling of 28477248839424 in words is "twenty-eight trillion, four hundred seventy-seven billion, two hundred forty-eight million, eight hundred thirty-nine thousand, four hundred twenty-four".