28133754480 has 720 divisors, whose sum is σ = 110588100480. Its totient is φ = 6385526784.

The previous prime is 28133754479. The next prime is 28133754511. The reversal of 28133754480 is 8445733182.

28133754480 is a `hidden beast` number, since 2 + 8 + 133 + 75 + 448 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×28133754480² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 99412419 + ... + 99412701.

It is an arithmetic number, because the mean of its divisors is an integer number (153594584).

Almost surely, 2^28133754480 is an apocalyptic number.

28133754480 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 28133754480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55294050240).

28133754480 is an abundant number, since it is smaller than the sum of its proper divisors (82454346000).

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

28133754480 is a wasteful number, since it uses less digits than its factorization.

28133754480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 28133754480 in words is "twenty-eight billion, one hundred thirty-three million, seven hundred fifty-four thousand, four hundred eighty".