28638550080 has 448 divisors, whose sum is σ = 115872768000. Its totient is φ = 6522771456.

The previous prime is 28638550067. The next prime is 28638550093. The reversal of 28638550080 is 8005583682.

It is a happy number.

28638550080 is a `hidden beast` number, since 2 + 8 + 63 + 8 + 5 + 500 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (28638550067) and next prime (28638550093).

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 21711661 + ... + 21712979.

Almost surely, 2^28638550080 is an apocalyptic number.

28638550080 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 28638550080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57936384000).

28638550080 is an abundant number, since it is smaller than the sum of its proper divisors (87234217920).

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

28638550080 is a wasteful number, since it uses less digits than its factorization.

28638550080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 28638550080 in words is "twenty-eight billion, six hundred thirty-eight million, five hundred fifty thousand, eighty".