28781282880 has 1680 divisors, whose sum is σ = 133195746816. Its totient is φ = 5852528640.

The previous prime is 28781282879. The next prime is 28781282891. The reversal of 28781282880 is 8828218782.

28781282880 is a `hidden beast` number, since 287 + 8 + 1 + 282 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 669332139 + ... + 669332181.

Almost surely, 2^28781282880 is an apocalyptic number.

28781282880 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 28781282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66597873408).

28781282880 is an abundant number, since it is smaller than the sum of its proper divisors (104414463936).

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

28781282880 is a wasteful number, since it uses less digits than its factorization.

28781282880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1835008, while the sum is 54.

The spelling of 28781282880 in words is "twenty-eight billion, seven hundred eighty-one million, two hundred eighty-two thousand, eight hundred eighty".