33740928 has 128 divisors (see below), whose sum is σ = 107385600. Its totient is φ = 10368000.

The previous prime is 33740923. The next prime is 33740933. The reversal of 33740928 is 82904733.

It is an interprime number because it is at equal distance from previous prime (33740923) and next prime (33740933).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×33740928² = 2276900444602368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 33740892 and 33740901.

It is not an unprimeable number, because it can be changed into a prime (33740921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44553 + ... + 45303.

It is an arithmetic number, because the mean of its divisors is an integer number (838950).

Almost surely, 2^33740928 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 33740928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53692800).

33740928 is an abundant number, since it is smaller than the sum of its proper divisors (73644672).

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

33740928 is a wasteful number, since it uses less digits than its factorization.

33740928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 33740928 is about 5808.6941733922. The cubic root of 33740928 is about 323.1362453077.

The spelling of 33740928 in words is "thirty-three million, seven hundred forty thousand, nine hundred twenty-eight".