28777900320 has 240 divisors, whose sum is σ = 109375108920. Its totient is φ = 7083749376.

The previous prime is 28777900313. The next prime is 28777900351. The reversal of 28777900320 is 2300977782.

It can be written as a sum of positive squares in 4 ways, for example, as 14553044496 + 14224855824 = 120636^2 + 119268^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×28777900320² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 83076 + ... + 253884.

Almost surely, 2^28777900320 is an apocalyptic number.

28777900320 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 28777900320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54687554460).

28777900320 is an abundant number, since it is smaller than the sum of its proper divisors (80597208600).

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

28777900320 is a wasteful number, since it uses less digits than its factorization.

28777900320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170849 (or 170832 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 28777900320 in words is "twenty-eight billion, seven hundred seventy-seven million, nine hundred thousand, three hundred twenty".