7361928 has 96 divisors (see below), whose sum is σ = 23674560. Its totient is φ = 2099520.

The previous prime is 7361923. The next prime is 7361929. The reversal of 7361928 is 8291637.

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

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

It is one of the 548 Lynch-Bell numbers.

It is a junction number, because it is equal to n+sod(n) for n = 7361892 and 7361901.

It is not an unprimeable number, because it can be changed into a prime (7361923) 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, 13338 + ... + 13878.

It is an arithmetic number, because the mean of its divisors is an integer number (246610).

Almost surely, 2^7361928 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 7361928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11837280).

7361928 is an abundant number, since it is smaller than the sum of its proper divisors (16312632).

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

7361928 is a wasteful number, since it uses less digits than its factorization.

7361928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 553 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 7361928 is about 2713.2873050969. The cubic root of 7361928 is about 194.5347488266.

It can be divided in two parts, 73 and 61928, that added together give a square (62001 = 249²).

The spelling of 7361928 in words is "seven million, three hundred sixty-one thousand, nine hundred twenty-eight".