28469034420480 has 288 divisors, whose sum is σ = 101289353195520. Its totient is φ = 7571917209600.

The previous prime is 28469034420479. The next prime is 28469034420557. The reversal of 28469034420480 is 8402443096482.

It is a happy number.

28469034420480 is a `hidden beast` number, since 2 + 8 + 4 + 6 + 90 + 34 + 42 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12161080 + ... + 14311880.

It is an arithmetic number, because the mean of its divisors is an integer number (351699143040).

Almost surely, 2^{28469034420480} is an apocalyptic number.

28469034420480 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 28469034420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50644676597760).

28469034420480 is an abundant number, since it is smaller than the sum of its proper divisors (72820318775040).

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

28469034420480 is a wasteful number, since it uses less digits than its factorization.

28469034420480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151214 (or 2151194 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 28469034420480 in words is "twenty-eight trillion, four hundred sixty-nine billion, thirty-four million, four hundred twenty thousand, four hundred eighty".