28405300 has 216 divisors, whose sum is σ = 85494528. Its totient is φ = 8064000.

The previous prime is 28405277. The next prime is 28405303. The reversal of 28405300 is 350482.

It is a super-2 number, since 2×28405300² = 1613722136180000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28405303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 916285 + ... + 916315.

It is an arithmetic number, because the mean of its divisors is an integer number (395808).

Almost surely, 2^28405300 is an apocalyptic number.

28405300 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 28405300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42747264).

28405300 is an abundant number, since it is smaller than the sum of its proper divisors (57089228).

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

28405300 is a wasteful number, since it uses less digits than its factorization.

28405300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 28405300 is about 5329.6622782311. The cubic root of 28405300 is about 305.1170383043.

Adding to 28405300 its reverse (350482), we get a palindrome (28755782).

The spelling of 28405300 in words is "twenty-eight million, four hundred five thousand, three hundred".