5828625 has 64 divisors (see below), whose sum is σ = 11831040. Its totient is φ = 2808000.

The previous prime is 5828621. The next prime is 5828629. The reversal of 5828625 is 5268285.

5828625 is a `hidden beast` number, since 5 + 8 + 28 + 625 = 666.

It is an interprime number because it is at equal distance from previous prime (5828621) and next prime (5828629).

It is not a de Polignac number, because 5828625 - 2² = 5828621 is a prime.

Its product of digits (38400) is a multiple of the sum of its prime factors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 5828625.

It is not an unprimeable number, because it can be changed into a prime (5828621) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37047 + ... + 37203.

It is an arithmetic number, because the mean of its divisors is an integer number (184860).

Almost surely, 2^5828625 is an apocalyptic number.

5828625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5828625 is an abundant number, since it is smaller than the sum of its proper divisors (6002415).

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

5828625 is a wasteful number, since it uses less digits than its factorization.

5828625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 176 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 5828625 is about 2414.2545433322. The cubic root of 5828625 is about 179.9652710777.

Adding to 5828625 its product of digits (38400), we get a triangular number (5867025 = T₃₄₂₅).

It can be divided in two parts, 58286 and 25, that added together give a triangular number (58311 = T₃₄₁).

The spelling of 5828625 in words is "five million, eight hundred twenty-eight thousand, six hundred twenty-five".