28402335642240 has 1536 divisors, whose sum is σ = 118787026176000. Its totient is φ = 6350769930240.

The previous prime is 28402335642193. The next prime is 28402335642361. The reversal of 28402335642240 is 4224653320482.

28402335642240 is a `hidden beast` number, since 2 + 8 + 4 + 0 + 23 + 3 + 564 + 22 + 40 = 666.

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

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, 14708614075 + ... + 14708616005.

It is an arithmetic number, because the mean of its divisors is an integer number (77335303500).

Almost surely, 2^{28402335642240} is an apocalyptic number.

28402335642240 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 28402335642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59393513088000).

28402335642240 is an abundant number, since it is smaller than the sum of its proper divisors (90384690533760).

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

28402335642240 is a wasteful number, since it uses less digits than its factorization.

28402335642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2260 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 45.

The spelling of 28402335642240 in words is "twenty-eight trillion, four hundred two billion, three hundred thirty-five million, six hundred forty-two thousand, two hundred forty".