28610264340 has 480 divisors, whose sum is σ = 105116901120. Its totient is φ = 6379720704.

The previous prime is 28610264311. The next prime is 28610264369. The reversal of 28610264340 is 4346201682.

28610264340 is a `hidden beast` number, since 2 + 8 + 6 + 1 + 0 + 2 + 643 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28610264311) and next prime (28610264369).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28610264295 and 28610264304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 106357726 + ... + 106357994.

It is an arithmetic number, because the mean of its divisors is an integer number (218993544).

Almost surely, 2^28610264340 is an apocalyptic number.

28610264340 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 28610264340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52558450560).

28610264340 is an abundant number, since it is smaller than the sum of its proper divisors (76506636780).

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

28610264340 is a wasteful number, since it uses less digits than its factorization.

28610264340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 28610264340 in words is "twenty-eight billion, six hundred ten million, two hundred sixty-four thousand, three hundred forty".