28778382072 has 192 divisors, whose sum is σ = 89642592000. Its totient is φ = 8248780800.

The previous prime is 28778382067. The next prime is 28778382089. The reversal of 28778382072 is 27028387782.

It is a super-2 number, since 2×28778382072² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13828072 + ... + 13830152.

It is an arithmetic number, because the mean of its divisors is an integer number (466888500).

Almost surely, 2^28778382072 is an apocalyptic number.

28778382072 is a gapful number since it is divisible by the number (22) 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 28778382072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44821296000).

28778382072 is an abundant number, since it is smaller than the sum of its proper divisors (60864209928).

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

28778382072 is a wasteful number, since it uses less digits than its factorization.

28778382072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3042 (or 3035 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 28778382072 in words is "twenty-eight billion, seven hundred seventy-eight million, three hundred eighty-two thousand, seventy-two".