28632420 has 96 divisors (see below), whose sum is σ = 94348800. Its totient is φ = 7183872.

The previous prime is 28632407. The next prime is 28632433. The reversal of 28632420 is 2423682.

28632420 is a `hidden beast` number, since 2 + 8 + 632 + 4 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (28632407) and next prime (28632433).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 7621 + ... + 10739.

It is an arithmetic number, because the mean of its divisors is an integer number (982800).

Almost surely, 2^28632420 is an apocalyptic number.

28632420 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 28632420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47174400).

28632420 is an abundant number, since it is smaller than the sum of its proper divisors (65716380).

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

28632420 is a wasteful number, since it uses less digits than its factorization.

28632420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3154 (or 3146 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 28632420 is about 5350.9270224887. The cubic root of 28632420 is about 305.9280876765.

The spelling of 28632420 in words is "twenty-eight million, six hundred thirty-two thousand, four hundred twenty".