28132836480 has 576 divisors, whose sum is σ = 113735793600. Its totient is φ = 6389010432.

The previous prime is 28132836449. The next prime is 28132836491. The reversal of 28132836480 is 8463823182.

28132836480 is a `hidden beast` number, since 2 + 8 + 132 + 8 + 36 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74228931 + ... + 74229309.

It is an arithmetic number, because the mean of its divisors is an integer number (197457975).

Almost surely, 2^28132836480 is an apocalyptic number.

28132836480 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 28132836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56867896800).

28132836480 is an abundant number, since it is smaller than the sum of its proper divisors (85602957120).

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

28132836480 is a wasteful number, since it uses less digits than its factorization.

28132836480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 28132836480 in words is "twenty-eight billion, one hundred thirty-two million, eight hundred thirty-six thousand, four hundred eighty".