28610988000 has 768 divisors, whose sum is σ = 114124308480. Its totient is φ = 6124800000.

The previous prime is 28610987917. The next prime is 28610988001. The reversal of 28610988000 is 88901682.

It is a super-2 number, since 2×28610988000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28610988001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 113987875 + ... + 113988125.

It is an arithmetic number, because the mean of its divisors is an integer number (148599360).

Almost surely, 2^28610988000 is an apocalyptic number.

28610988000 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 28610988000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57062154240).

28610988000 is an abundant number, since it is smaller than the sum of its proper divisors (85513320480).

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

28610988000 is a wasteful number, since it uses less digits than its factorization.

28610988000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 28610988000 in words is "twenty-eight billion, six hundred ten million, nine hundred eighty-eight thousand".