28340379648 has 336 divisors, whose sum is σ = 94767135840. Its totient is φ = 7993294848.

The previous prime is 28340379643. The next prime is 28340379649. The reversal of 28340379648 is 84697304382.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×28340379648³ (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 28340379594 and 28340379603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28340379643) 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, 45932236 + ... + 45932852.

Almost surely, 2^28340379648 is an apocalyptic number.

28340379648 is a gapful number since it is divisible by the number (28) 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 28340379648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47383567920).

28340379648 is an abundant number, since it is smaller than the sum of its proper divisors (66426756192).

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

28340379648 is an equidigital number, since it uses as much as digits as its factorization.

28340379648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 28340379648 in words is "twenty-eight billion, three hundred forty million, three hundred seventy-nine thousand, six hundred forty-eight".