7838904528 has 480 divisors, whose sum is σ = 29118136320. Its totient is φ = 1911444480.

The previous prime is 7838904523. The next prime is 7838904533. The reversal of 7838904528 is 8254098387.

It is a happy number.

7838904528 is a `hidden beast` number, since 78 + 38 + 90 + 452 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (7838904523) and next prime (7838904533).

It is a super-2 number, since 2×7838904528² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7838904523) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9342733 + ... + 9343571.

It is an arithmetic number, because the mean of its divisors is an integer number (60662784).

Almost surely, 2^7838904528 is an apocalyptic number.

7838904528 is a gapful number since it is divisible by the number (78) 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 7838904528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14559068160).

7838904528 is an abundant number, since it is smaller than the sum of its proper divisors (21279231792).

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

7838904528 is a wasteful number, since it uses less digits than its factorization.

7838904528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The square root of 7838904528 is about 88537.5882210488. The cubic root of 7838904528 is about 1986.4842452703.

The spelling of 7838904528 in words is "seven billion, eight hundred thirty-eight million, nine hundred four thousand, five hundred twenty-eight".