28546320 has 120 divisors (see below), whose sum is σ = 97368768. Its totient is φ = 6913280.

The previous prime is 28546307. The next prime is 28546333. The reversal of 28546320 is 2364582.

It is an interprime number because it is at equal distance from previous prime (28546307) and next prime (28546333).

It is a tau number, because it is divible by the number of its divisors (120).

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28549 + ... + 29531.

Almost surely, 2^28546320 is an apocalyptic number.

28546320 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 28546320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48684384).

28546320 is an abundant number, since it is smaller than the sum of its proper divisors (68822448).

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

28546320 is a wasteful number, since it uses less digits than its factorization.

28546320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 28546320 is about 5342.8756302201. The cubic root of 28546320 is about 305.6211296301.

The spelling of 28546320 in words is "twenty-eight million, five hundred forty-six thousand, three hundred twenty".