28219047615360 has 1024 divisors, whose sum is σ = 117994383360000. Its totient is φ = 6237242818560.

The previous prime is 28219047615337. The next prime is 28219047615371. The reversal of 28219047615360 is 6351674091282.

It is a happy number.

28219047615360 is a `hidden beast` number, since 2 + 8 + 2 + 1 + 9 + 0 + 47 + 61 + 536 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 28219047615297 and 28219047615306.

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 127 ways as a sum of consecutive naturals, for example, 7608261186 + ... + 7608264894.

It is an arithmetic number, because the mean of its divisors is an integer number (115228890000).

It is a 1-persistent number, because it is pandigital, but 2⋅28219047615360 = 56438095230720 is not.

Almost surely, 2^{28219047615360} is an apocalyptic number.

28219047615360 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 28219047615360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58997191680000).

28219047615360 is an abundant number, since it is smaller than the sum of its proper divisors (89775335744640).

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

28219047615360 is a wasteful number, since it uses less digits than its factorization.

28219047615360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5804 (or 5786 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 28219047615360 in words is "twenty-eight trillion, two hundred nineteen billion, forty-seven million, six hundred fifteen thousand, three hundred sixty".