28632240 has 480 divisors, whose sum is σ = 129991680. Its totient is φ = 5474304.

The previous prime is 28632223. The next prime is 28632257. The reversal of 28632240 is 4223682.

28632240 is a `hidden beast` number, since 2 + 8 + 632 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28632223) and next prime (28632257).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1244869 + ... + 1244891.

It is an arithmetic number, because the mean of its divisors is an integer number (270816).

Almost surely, 2^28632240 is an apocalyptic number.

28632240 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 28632240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64995840).

28632240 is an abundant number, since it is smaller than the sum of its proper divisors (101359440).

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

28632240 is a wasteful number, since it uses less digits than its factorization.

28632240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 72 counting only the distinct ones).

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

The square root of 28632240 is about 5350.9102029468. The cubic root of 28632240 is about 305.9274465947.

The spelling of 28632240 in words is "twenty-eight million, six hundred thirty-two thousand, two hundred forty".