7436928 has 64 divisors (see below), whose sum is σ = 20049120. Its totient is φ = 2442240.

The previous prime is 7436921. The next prime is 7436941. The reversal of 7436928 is 8296347.

It is a tau number, because it is divible by the number of its divisors (64).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (7436921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40998 + ... + 41178.

Almost surely, 2^7436928 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 7436928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10024560).

7436928 is an abundant number, since it is smaller than the sum of its proper divisors (12612192).

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

7436928 is a wasteful number, since it uses less digits than its factorization.

7436928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 293 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 7436928 is about 2727.0731563345. The cubic root of 7436928 is about 195.1931288453.

The spelling of 7436928 in words is "seven million, four hundred thirty-six thousand, nine hundred twenty-eight".