28770693120 has 312 divisors, whose sum is σ = 107406420576. Its totient is φ = 7081426944.

The previous prime is 28770693109. The next prime is 28770693139. The reversal of 28770693120 is 2139607782.

It is a tau number, because it is divible by the number of its divisors (312).

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

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, 2390157 + ... + 2402163.

It is an arithmetic number, because the mean of its divisors is an integer number (344251348).

Almost surely, 2^28770693120 is an apocalyptic number.

28770693120 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 28770693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53703210288).

28770693120 is an abundant number, since it is smaller than the sum of its proper divisors (78635727456).

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

28770693120 is a wasteful number, since it uses less digits than its factorization.

28770693120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12055 (or 12030 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 28770693120 in words is "twenty-eight billion, seven hundred seventy million, six hundred ninety-three thousand, one hundred twenty".