28192640 has 192 divisors, whose sum is σ = 83721600. Its totient is φ = 9031680.

The previous prime is 28192639. The next prime is 28192657. The reversal of 28192640 is 4629182.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 28192597 and 28192606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 909425 + ... + 909455.

It is an arithmetic number, because the mean of its divisors is an integer number (436050).

Almost surely, 2^28192640 is an apocalyptic number.

28192640 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 28192640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41860800).

28192640 is an abundant number, since it is smaller than the sum of its proper divisors (55528960).

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

28192640 is a wasteful number, since it uses less digits than its factorization.

28192640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 28192640 is about 5309.6741896278. The cubic root of 28192640 is about 304.3536972780.

The spelling of 28192640 in words is "twenty-eight million, one hundred ninety-two thousand, six hundred forty".