45029088 has 192 divisors, whose sum is σ = 149587200. Its totient is φ = 13063680.

The previous prime is 45029087. The next prime is 45029113. The reversal of 45029088 is 88092054.

45029088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45029088² = 4055237532223488, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45029087) 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 31 ways as a sum of consecutive naturals, for example, 213303 + ... + 213513.

It is an arithmetic number, because the mean of its divisors is an integer number (779100).

Almost surely, 2^45029088 is an apocalyptic number.

45029088 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 45029088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74793600).

45029088 is an abundant number, since it is smaller than the sum of its proper divisors (104558112).

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

45029088 is a wasteful number, since it uses less digits than its factorization.

45029088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 45029088 is about 6710.3716737600. The cubic root of 45029088 is about 355.7659531361.

The spelling of 45029088 in words is "forty-five million, twenty-nine thousand, eighty-eight".