28071865440 has 672 divisors, whose sum is σ = 105800476320. Its totient is φ = 7023034368.

The previous prime is 28071865427. The next prime is 28071865499. The reversal of 28071865440 is 4456817082.

28071865440 is a `hidden beast` number, since 2 + 80 + 71 + 8 + 65 + 440 = 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 polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 145449984 + ... + 145450176.

It is an arithmetic number, because the mean of its divisors is an integer number (157441185).

Almost surely, 2^28071865440 is an apocalyptic number.

28071865440 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 28071865440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52900238160).

28071865440 is an abundant number, since it is smaller than the sum of its proper divisors (77728610880).

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

28071865440 is a wasteful number, since it uses less digits than its factorization.

28071865440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 28071865440 in words is "twenty-eight billion, seventy-one million, eight hundred sixty-five thousand, four hundred forty".