45629028 has 48 divisors (see below), whose sum is σ = 118661760. Its totient is φ = 15162912.

The previous prime is 45629027. The next prime is 45629041. The reversal of 45629028 is 82092654.

It is a happy number.

45629028 is a `hidden beast` number, since 4 + 5 + 629 + 0 + 28 = 666.

45629028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 45628983 and 45629001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45629027) 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 15 ways as a sum of consecutive naturals, for example, 69550 + ... + 70202.

It is an arithmetic number, because the mean of its divisors is an integer number (2472120).

Almost surely, 2^45629028 is an apocalyptic number.

It is an amenable number.

45629028 is an abundant number, since it is smaller than the sum of its proper divisors (73032732).

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

45629028 is a wasteful number, since it uses less digits than its factorization.

45629028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1305 counting only the distinct ones).

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

The square root of 45629028 is about 6754.9262024096. The cubic root of 45629028 is about 357.3389902046.

The spelling of 45629028 in words is "forty-five million, six hundred twenty-nine thousand, twenty-eight".