28321632 has 72 divisors (see below), whose sum is σ = 83341440. Its totient is φ = 9112320.

The previous prime is 28321627. The next prime is 28321639. The reversal of 28321632 is 23612382.

28321632 is a `hidden beast` number, since 2 + 8 + 3 + 21 + 632 = 666.

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

It is a super-2 number, since 2×28321632² = 1604229678286848, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 28321596 and 28321605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28321639) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6657 + ... + 10047.

It is an arithmetic number, because the mean of its divisors is an integer number (1157520).

Almost surely, 2^28321632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28321632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41670720).

28321632 is an abundant number, since it is smaller than the sum of its proper divisors (55019808).

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

28321632 is a wasteful number, since it uses less digits than its factorization.

28321632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3436 (or 3425 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 28321632 is about 5321.8072118407. The cubic root of 28321632 is about 304.8171689339.

The spelling of 28321632 in words is "twenty-eight million, three hundred twenty-one thousand, six hundred thirty-two".