28288038240 has 864 divisors, whose sum is σ = 125902183680. Its totient is φ = 5871191040.

The previous prime is 28288038239. The next prime is 28288038257. The reversal of 28288038240 is 4283088282.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×28288038240³ (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32930931 + ... + 32931789.

It is an arithmetic number, because the mean of its divisors is an integer number (145720120).

Almost surely, 2^28288038240 is an apocalyptic number.

28288038240 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 28288038240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62951091840).

28288038240 is an abundant number, since it is smaller than the sum of its proper divisors (97614145440).

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

28288038240 is a wasteful number, since it uses less digits than its factorization.

28288038240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 28288038240 in words is "twenty-eight billion, two hundred eighty-eight million, thirty-eight thousand, two hundred forty".