7487928 has 96 divisors (see below), whose sum is σ = 23587200. Its totient is φ = 2101824.

The previous prime is 7487927. The next prime is 7487941. The reversal of 7487928 is 8297847.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7487923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41743 + ... + 41921.

It is an arithmetic number, because the mean of its divisors is an integer number (245700).

Almost surely, 2^7487928 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 7487928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11793600).

7487928 is an abundant number, since it is smaller than the sum of its proper divisors (16099272).

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

7487928 is a wasteful number, since it uses less digits than its factorization.

7487928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 274 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 7487928 is about 2736.4078643360. The cubic root of 7487928 is about 195.6383028105.

The spelling of 7487928 in words is "seven million, four hundred eighty-seven thousand, nine hundred twenty-eight".