28809332778240 has 1440 divisors, whose sum is σ = 119114784036864. Its totient is φ = 6512596992000.

The previous prime is 28809332778229. The next prime is 28809332778301. The reversal of 28809332778240 is 4287723390882.

28809332778240 is a `hidden beast` number, since 288 + 0 + 9 + 3 + 3 + 277 + 82 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×28809332778240³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 30421681447 + ... + 30421682393.

Almost surely, 2^{28809332778240} is an apocalyptic number.

28809332778240 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 28809332778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59557392018432).

28809332778240 is an abundant number, since it is smaller than the sum of its proper divisors (90305451258624).

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

28809332778240 is a wasteful number, since it uses less digits than its factorization.

28809332778240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

It can be divided in two parts, 28809 and 332778240, that added together give a square (332807049 = 18243²).

The spelling of 28809332778240 in words is "twenty-eight trillion, eight hundred nine billion, three hundred thirty-two million, seven hundred seventy-eight thousand, two hundred forty".