28682074944 has 224 divisors, whose sum is σ = 88102318080. Its totient is φ = 9139392000.

The previous prime is 28682074937. The next prime is 28682074963. The reversal of 28682074944 is 44947028682.

It is a super-2 number, since 2×28682074944² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4442919 + ... + 4449369.

It is an arithmetic number, because the mean of its divisors is an integer number (393313920).

Almost surely, 2^28682074944 is an apocalyptic number.

28682074944 is a gapful number since it is divisible by the number (24) 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 28682074944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44051159040).

28682074944 is an abundant number, since it is smaller than the sum of its proper divisors (59420243136).

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

28682074944 is a wasteful number, since it uses less digits than its factorization.

28682074944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6586 (or 6570 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 28682074944 in words is "twenty-eight billion, six hundred eighty-two million, seventy-four thousand, nine hundred forty-four".