28292000 has 96 divisors (see below), whose sum is σ = 75950784. Its totient is φ = 10272000.

The previous prime is 28291999. The next prime is 28292003. The reversal of 28292000 is 29282.

28292000 is nontrivially palindromic in base 9.

It is not an unprimeable number, because it can be changed into a prime (28292003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43679 + ... + 44321.

It is an arithmetic number, because the mean of its divisors is an integer number (791154).

Almost surely, 2^28292000 is an apocalyptic number.

28292000 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 28292000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37975392).

28292000 is an abundant number, since it is smaller than the sum of its proper divisors (47658784).

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

28292000 is a wasteful number, since it uses less digits than its factorization.

28292000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 28292000 is about 5319.0224665816. The cubic root of 28292000 is about 304.7108250826.

The spelling of 28292000 in words is "twenty-eight million, two hundred ninety-two thousand".