28694468000 has 384 divisors, whose sum is σ = 80536135680. Its totient is φ = 9953280000.

The previous prime is 28694467961. The next prime is 28694468009. The reversal of 28694468000 is 86449682.

It is not an unprimeable number, because it can be changed into a prime (28694468009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148675904 + ... + 148676096.

It is an arithmetic number, because the mean of its divisors is an integer number (209729520).

Almost surely, 2^28694468000 is an apocalyptic number.

28694468000 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 28694468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40268067840).

28694468000 is an abundant number, since it is smaller than the sum of its proper divisors (51841667680).

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

28694468000 is a wasteful number, since it uses less digits than its factorization.

28694468000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 47.

It can be divided in two parts, 28694 and 468000, that added together give a palindrome (496694).

The spelling of 28694468000 in words is "twenty-eight billion, six hundred ninety-four million, four hundred sixty-eight thousand".