7928460 has 72 divisors (see below), whose sum is σ = 25474176. Its totient is φ = 1989120.

The previous prime is 7928441. The next prime is 7928461. The reversal of 7928460 is 648297.

7928460 = T₂₇₃ + T₂₇₄ + ... + T₄₀₇.

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

It is not an unprimeable number, because it can be changed into a prime (7928461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1765 + ... + 4355.

It is an arithmetic number, because the mean of its divisors is an integer number (353808).

Almost surely, 2^7928460 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 7928460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12737088).

7928460 is an abundant number, since it is smaller than the sum of its proper divisors (17545716).

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

7928460 is a wasteful number, since it uses less digits than its factorization.

7928460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2623 (or 2618 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 7928460 is about 2815.7521197719. The cubic root of 7928460 is about 199.4020473783.

The spelling of 7928460 in words is "seven million, nine hundred twenty-eight thousand, four hundred sixty".