28689719040 has 216 divisors, whose sum is σ = 99825158160. Its totient is φ = 7607304192.

The previous prime is 28689719039. The next prime is 28689719041. The reversal of 28689719040 is 4091798682.

It is an interprime number because it is at equal distance from previous prime (28689719039) and next prime (28689719041).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28689719041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2055124 + ... + 2069036.

It is an arithmetic number, because the mean of its divisors is an integer number (462153510).

Almost surely, 2^28689719040 is an apocalyptic number.

28689719040 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 28689719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49912579080).

28689719040 is an abundant number, since it is smaller than the sum of its proper divisors (71135439120).

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

28689719040 is a wasteful number, since it uses less digits than its factorization.

28689719040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14119 (or 14102 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 28689719040 in words is "twenty-eight billion, six hundred eighty-nine million, seven hundred nineteen thousand, forty".