28505893140 has 288 divisors, whose sum is σ = 92473879680. Its totient is φ = 7289533440.

The previous prime is 28505893127. The next prime is 28505893153. The reversal of 28505893140 is 4139850582.

28505893140 is a `hidden beast` number, since 2 + 8 + 50 + 589 + 3 + 14 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28505893127) and next prime (28505893153).

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 95 ways as a sum of consecutive naturals, for example, 84587052 + ... + 84587388.

It is an arithmetic number, because the mean of its divisors is an integer number (321089860).

Almost surely, 2^28505893140 is an apocalyptic number.

28505893140 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 28505893140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46236939840).

28505893140 is an abundant number, since it is smaller than the sum of its proper divisors (63967986540).

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

28505893140 is a wasteful number, since it uses less digits than its factorization.

28505893140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 28505893140 in words is "twenty-eight billion, five hundred five million, eight hundred ninety-three thousand, one hundred forty".