28211735136 has 144 divisors (see below), whose sum is σ = 82359671184. Its totient is φ = 8445745152.

The previous prime is 28211735113. The next prime is 28211735143. The reversal of 28211735136 is 63153711282.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 28211735094 and 28211735103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 576790 + ... + 623786.

It is an arithmetic number, because the mean of its divisors is an integer number (571942161).

Almost surely, 2^28211735136 is an apocalyptic number.

28211735136 is a gapful number since it is divisible by the number (26) 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 28211735136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41179835592).

28211735136 is an abundant number, since it is smaller than the sum of its proper divisors (54147936048).

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

28211735136 is a wasteful number, since it uses less digits than its factorization.

28211735136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47073 (or 47052 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The spelling of 28211735136 in words is "twenty-eight billion, two hundred eleven million, seven hundred thirty-five thousand, one hundred thirty-six".