32728740 has 96 divisors (see below), whose sum is σ = 105888384. Its totient is φ = 7464960.

The previous prime is 32728739. The next prime is 32728753. The reversal of 32728740 is 4782723.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9762 + ... + 12678.

It is an arithmetic number, because the mean of its divisors is an integer number (1103004).

Almost surely, 2^32728740 is an apocalyptic number.

32728740 is a gapful number since it is divisible by the number (30) 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 32728740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52944192).

32728740 is an abundant number, since it is smaller than the sum of its proper divisors (73159644).

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

32728740 is a wasteful number, since it uses less digits than its factorization.

32728740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2957 (or 2955 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 32728740 is about 5720.9037747545. The cubic root of 32728740 is about 319.8721494471.

The spelling of 32728740 in words is "thirty-two million, seven hundred twenty-eight thousand, seven hundred forty".