28019133690240 has 2048 divisors, whose sum is σ = 124055318016000. Its totient is φ = 5200832102400.

The previous prime is 28019133690217. The next prime is 28019133690313. The reversal of 28019133690240 is 4209633191082.

It is a super-4 number, since 4×28019133690240⁴ (a number of 55 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 28019133690240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3812642086 + ... + 3812649434.

It is an arithmetic number, because the mean of its divisors is an integer number (60573885750).

Almost surely, 2^{28019133690240} is an apocalyptic number.

28019133690240 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 28019133690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62027659008000).

28019133690240 is an abundant number, since it is smaller than the sum of its proper divisors (96036184325760).

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

28019133690240 is a wasteful number, since it uses less digits than its factorization.

28019133690240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7484 (or 7472 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The spelling of 28019133690240 in words is "twenty-eight trillion, nineteen billion, one hundred thirty-three million, six hundred ninety thousand, two hundred forty".