28307664 has 320 divisors, whose sum is σ = 108564480. Its totient is φ = 6842880.

The previous prime is 28307651. The next prime is 28307689. The reversal of 28307664 is 46670382.

It is a super-2 number, since 2×28307664² = 1602647682273792, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 765054 + ... + 765090.

It is an arithmetic number, because the mean of its divisors is an integer number (339264).

Almost surely, 2^28307664 is an apocalyptic number.

28307664 is a gapful number since it is divisible by the number (24) 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 28307664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54282240).

28307664 is an abundant number, since it is smaller than the sum of its proper divisors (80256816).

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

28307664 is a wasteful number, since it uses less digits than its factorization.

28307664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 28307664 is about 5320.4947138401. The cubic root of 28307664 is about 304.7670495721.

The spelling of 28307664 in words is "twenty-eight million, three hundred seven thousand, six hundred sixty-four".