28777209120 has 384 divisors, whose sum is σ = 110205204480. Its totient is φ = 6955453440.

The previous prime is 28777209101. The next prime is 28777209127. The reversal of 28777209120 is 2190277782.

It is a super-2 number, since 2×28777209120² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (28777209127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21050677 + ... + 21052043.

It is an arithmetic number, because the mean of its divisors is an integer number (286992720).

Almost surely, 2^28777209120 is an apocalyptic number.

28777209120 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 28777209120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55102602240).

28777209120 is an abundant number, since it is smaller than the sum of its proper divisors (81427995360).

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

28777209120 is a wasteful number, since it uses less digits than its factorization.

28777209120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 28777209120 in words is "twenty-eight billion, seven hundred seventy-seven million, two hundred nine thousand, one hundred twenty".