28293300 has 180 divisors, whose sum is σ = 105028000. Its totient is φ = 6454080.

The previous prime is 28293283. The next prime is 28293301. The reversal of 28293300 is 339282.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28293301) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 56451 + ... + 56949.

Almost surely, 2^28293300 is an apocalyptic number.

28293300 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 28293300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52514000).

28293300 is an abundant number, since it is smaller than the sum of its proper divisors (76734700).

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

28293300 is a wasteful number, since it uses less digits than its factorization.

28293300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 28293300 is about 5319.1446680834. The cubic root of 28293300 is about 304.7154921028.

The spelling of 28293300 in words is "twenty-eight million, two hundred ninety-three thousand, three hundred".