46290528 has 72 divisors (see below), whose sum is σ = 136537128. Its totient is φ = 15427584.

The previous prime is 46290527. The next prime is 46290539. The reversal of 46290528 is 82509264.

It is a happy number.

46290528 is a `hidden beast` number, since 4 + 629 + 0 + 5 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nialpdrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 46290492 and 46290501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46290523) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4800 + ... + 10752.

It is an arithmetic number, because the mean of its divisors is an integer number (1896349).

Almost surely, 2^46290528 is an apocalyptic number.

46290528 is a gapful number since it is divisible by the number (48) 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 46290528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68268564).

46290528 is an abundant number, since it is smaller than the sum of its proper divisors (90246600).

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

46290528 is an equidigital number, since it uses as much as digits as its factorization.

46290528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5978 (or 5958 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 46290528 is about 6803.7142797152. The cubic root of 46290528 is about 359.0575348181.

The spelling of 46290528 in words is "forty-six million, two hundred ninety thousand, five hundred twenty-eight".