28282464 has 72 divisors (see below), whose sum is σ = 91924560. Its totient is φ = 8080128.

The previous prime is 28282409. The next prime is 28282483. The reversal of 28282464 is 46428282.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×28282464² = 1599795539822592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4999 + ... + 9030.

It is an arithmetic number, because the mean of its divisors is an integer number (1276730).

Almost surely, 2^28282464 is an apocalyptic number.

28282464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28282464 is an abundant number, since it is smaller than the sum of its proper divisors (63642096).

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

28282464 is a wasteful number, since it uses less digits than its factorization.

28282464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14052 (or 14041 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 28282464 is about 5318.1259857209. The cubic root of 28282464 is about 304.6765863231.

The spelling of 28282464 in words is "twenty-eight million, two hundred eighty-two thousand, four hundred sixty-four".