7628040 has 128 divisors (see below), whose sum is σ = 29088000. Its totient is φ = 1741824.

The previous prime is 7628039. The next prime is 7628041. The reversal of 7628040 is 408267.

It is an interprime number because it is at equal distance from previous prime (7628039) and next prime (7628041).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 7627995 and 7628013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7628041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7056 + ... + 8064.

It is an arithmetic number, because the mean of its divisors is an integer number (227250).

Almost surely, 2^7628040 is an apocalyptic number.

7628040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7628040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14544000).

7628040 is an abundant number, since it is smaller than the sum of its proper divisors (21459960).

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

7628040 is a wasteful number, since it uses less digits than its factorization.

7628040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 7628040 is about 2761.8906567784. The cubic root of 7628040 is about 196.8510129506.

The spelling of 7628040 in words is "seven million, six hundred twenty-eight thousand, forty".