28630126560 has 192 divisors, whose sum is σ = 103139495424. Its totient is φ = 6539520000.

The previous prime is 28630126559. The next prime is 28630126561. The reversal of 28630126560 is 6562103682.

It is an interprime number because it is at equal distance from previous prime (28630126559) and next prime (28630126561).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28630126561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8804935 + ... + 8808185.

It is an arithmetic number, because the mean of its divisors is an integer number (537184872).

Almost surely, 2^28630126560 is an apocalyptic number.

28630126560 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 28630126560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51569747712).

28630126560 is an abundant number, since it is smaller than the sum of its proper divisors (74509368864).

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

28630126560 is a wasteful number, since it uses less digits than its factorization.

28630126560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5897 (or 5889 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 28630126560 in words is "twenty-eight billion, six hundred thirty million, one hundred twenty-six thousand, five hundred sixty".