28834038240 has 576 divisors, whose sum is σ = 112397725440. Its totient is φ = 6177669120.

The previous prime is 28834038209. The next prime is 28834038301. The reversal of 28834038240 is 4283043882.

It is a super-2 number, since 2×28834038240² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 28834038192 and 28834038201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50497155 + ... + 50497725.

It is an arithmetic number, because the mean of its divisors is an integer number (195134940).

Almost surely, 2^28834038240 is an apocalyptic number.

28834038240 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 28834038240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56198862720).

28834038240 is an abundant number, since it is smaller than the sum of its proper divisors (83563687200).

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

28834038240 is a wasteful number, since it uses less digits than its factorization.

28834038240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 28834038240 in words is "twenty-eight billion, eight hundred thirty-four million, thirty-eight thousand, two hundred forty".