28819077120 has 576 divisors, whose sum is σ = 106248542400. Its totient is φ = 7211581440.

The previous prime is 28819077113. The next prime is 28819077121. The reversal of 28819077120 is 2177091882.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28819077121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109578109 + ... + 109578371.

It is an arithmetic number, because the mean of its divisors is an integer number (184459275).

Almost surely, 2^28819077120 is an apocalyptic number.

28819077120 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 28819077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53124271200).

28819077120 is an abundant number, since it is smaller than the sum of its proper divisors (77429465280).

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

28819077120 is a wasteful number, since it uses less digits than its factorization.

28819077120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 28819077120 in words is "twenty-eight billion, eight hundred nineteen million, seventy-seven thousand, one hundred twenty".