28240692480 has 1728 divisors, whose sum is σ = 137137029120. Its totient is φ = 5175705600.

The previous prime is 28240692461. The next prime is 28240692509. The reversal of 28240692480 is 8429604282.

28240692480 is a `hidden beast` number, since 2 + 82 + 4 + 0 + 6 + 92 + 480 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 357477081 + ... + 357477159.

Almost surely, 2^28240692480 is an apocalyptic number.

28240692480 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 28240692480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68568514560).

28240692480 is an abundant number, since it is smaller than the sum of its proper divisors (108896336640).

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

28240692480 is a wasteful number, since it uses less digits than its factorization.

28240692480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 151 counting only the distinct ones).

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

The spelling of 28240692480 in words is "twenty-eight billion, two hundred forty million, six hundred ninety-two thousand, four hundred eighty".