28063506240 has 1344 divisors, whose sum is σ = 128876267520. Its totient is φ = 5643509760.

The previous prime is 28063506223. The next prime is 28063506259. The reversal of 28063506240 is 4260536082.

28063506240 is a `hidden beast` number, since 28 + 0 + 6 + 3 + 5 + 0 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28063506195 and 28063506204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 257463306 + ... + 257463414.

It is an arithmetic number, because the mean of its divisors is an integer number (95890080).

Almost surely, 2^28063506240 is an apocalyptic number.

28063506240 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 28063506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64438133760).

28063506240 is an abundant number, since it is smaller than the sum of its proper divisors (100812761280).

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

28063506240 is a wasteful number, since it uses less digits than its factorization.

28063506240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 28063506240 in words is "twenty-eight billion, sixty-three million, five hundred six thousand, two hundred forty".