28715282640 has 960 divisors, whose sum is σ = 116435404800. Its totient is φ = 6270566400.

The previous prime is 28715282633. The next prime is 28715282647. The reversal of 28715282640 is 4628251782.

28715282640 is a `hidden beast` number, since 2 + 87 + 1 + 528 + 2 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (28715282633) and next prime (28715282647).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28715282647) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 263442906 + ... + 263443014.

It is an arithmetic number, because the mean of its divisors is an integer number (121286880).

Almost surely, 2^28715282640 is an apocalyptic number.

28715282640 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 28715282640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58217702400).

28715282640 is an abundant number, since it is smaller than the sum of its proper divisors (87720122160).

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

28715282640 is a wasteful number, since it uses less digits than its factorization.

28715282640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 227 counting only the distinct ones).

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

The spelling of 28715282640 in words is "twenty-eight billion, seven hundred fifteen million, two hundred eighty-two thousand, six hundred forty".