28701838080 has 288 divisors, whose sum is σ = 103119145920. Its totient is φ = 7653076992.

The previous prime is 28701838079. The next prime is 28701838097. The reversal of 28701838080 is 8083810782.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×28701838080³ (a number of 32 digits) contains 333 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2794234 + ... + 2804486.

It is an arithmetic number, because the mean of its divisors is an integer number (358052590).

Almost surely, 2^28701838080 is an apocalyptic number.

28701838080 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 28701838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51559572960).

28701838080 is an abundant number, since it is smaller than the sum of its proper divisors (74417307840).

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

28701838080 is an frugal number, since it uses more digits than its factorization.

28701838080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10295 (or 10263 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 28701838080 in words is "twenty-eight billion, seven hundred one million, eight hundred thirty-eight thousand, eighty".