28618929982440 has 960 divisors, whose sum is σ = 120969252835200. Its totient is φ = 6029666915328.

The previous prime is 28618929982429. The next prime is 28618929982457. The reversal of 28618929982440 is 4428992981682.

28618929982440 is a `hidden beast` number, since 2 + 8 + 6 + 1 + 8 + 92 + 9 + 98 + 2 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 111480069 + ... + 111736491.

It is an arithmetic number, because the mean of its divisors is an integer number (126009638370).

Almost surely, 2^{28618929982440} is an apocalyptic number.

28618929982440 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 28618929982440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60484626417600).

28618929982440 is an abundant number, since it is smaller than the sum of its proper divisors (92350322852760).

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

28618929982440 is a wasteful number, since it uses less digits than its factorization.

28618929982440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256516 (or 256496 counting only the distinct ones).

The product of its (nonzero) digits is 286654464, while the sum is 72.

The spelling of 28618929982440 in words is "twenty-eight trillion, six hundred eighteen billion, nine hundred twenty-nine million, nine hundred eighty-two thousand, four hundred forty".