28628100000 has 576 divisors, whose sum is σ = 109140514560. Its totient is φ = 7286400000.

The previous prime is 28628099993. The next prime is 28628100013. The reversal of 28628100000 is 182682.

28628100000 is a `hidden beast` number, since 28 + 628 + 10 + 0 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×28628100000³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62099770 + ... + 62100230.

It is an arithmetic number, because the mean of its divisors is an integer number (189480060).

Almost surely, 2^28628100000 is an apocalyptic number.

28628100000 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 28628100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54570257280).

28628100000 is an abundant number, since it is smaller than the sum of its proper divisors (80512414560).

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

28628100000 is an equidigital number, since it uses as much as digits as its factorization.

28628100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 28628100000 its reverse (182682), we get a palindrome (28628282682).

The spelling of 28628100000 in words is "twenty-eight billion, six hundred twenty-eight million, one hundred thousand".