28395546330240 has 1024 divisors, whose sum is σ = 112135300992000. Its totient is φ = 6754152480768.

The previous prime is 28395546330197. The next prime is 28395546330301. The reversal of 28395546330240 is 4203364559382.

28395546330240 is a `hidden beast` number, since 2 + 8 + 3 + 9 + 554 + 63 + 3 + 0 + 24 + 0 = 666.

It is a super-2 number, since 2×28395546330240² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 736437042 + ... + 736475598.

It is an arithmetic number, because the mean of its divisors is an integer number (109507129875).

Almost surely, 2^{28395546330240} is an apocalyptic number.

28395546330240 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 28395546330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56067650496000).

28395546330240 is an abundant number, since it is smaller than the sum of its proper divisors (83739754661760).

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

28395546330240 is a wasteful number, since it uses less digits than its factorization.

28395546330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38734 (or 38716 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 28395546330240 in words is "twenty-eight trillion, three hundred ninety-five billion, five hundred forty-six million, three hundred thirty thousand, two hundred forty".