28264620 has 96 divisors (see below), whose sum is σ = 82252800. Its totient is φ = 7248384.

The previous prime is 28264619. The next prime is 28264661. The reversal of 28264620 is 2646282.

28264620 = T₂₅₅ + T₂₅₆ + ... + T₅₇₀.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 317536 + ... + 317624.

It is an arithmetic number, because the mean of its divisors is an integer number (856800).

Almost surely, 2^28264620 is an apocalyptic number.

28264620 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 28264620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41126400).

28264620 is an abundant number, since it is smaller than the sum of its proper divisors (53988180).

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

28264620 is a wasteful number, since it uses less digits than its factorization.

28264620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 28264620 is about 5316.4480623815. The cubic root of 28264620 is about 304.6124972257.

The spelling of 28264620 in words is "twenty-eight million, two hundred sixty-four thousand, six hundred twenty".