28746500 has 24 divisors (see below), whose sum is σ = 62783448. Its totient is φ = 11498400.

The previous prime is 28746499. The next prime is 28746503. The reversal of 28746500 is 564782.

It can be written as a sum of positive squares in 4 ways, for example, as 1893376 + 26853124 = 1376^2 + 5182^2 .

It is a super-2 number, since 2×28746500² = 1652722524500000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28746503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28247 + ... + 29246.

It is an arithmetic number, because the mean of its divisors is an integer number (2615977).

Almost surely, 2^28746500 is an apocalyptic number.

28746500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28746500 is an abundant number, since it is smaller than the sum of its proper divisors (34036948).

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

28746500 is a wasteful number, since it uses less digits than its factorization.

28746500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57512 (or 57500 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 28746500 is about 5361.5762607651. The cubic root of 28746500 is about 306.3338518135. Note that the first 3 decimals are identical.

The spelling of 28746500 in words is "twenty-eight million, seven hundred forty-six thousand, five hundred".