45729888 has 96 divisors (see below), whose sum is σ = 127008000. Its totient is φ = 14378496.

The previous prime is 45729869. The next prime is 45729899. The reversal of 45729888 is 88892754.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 45729888.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 306838 + ... + 306986.

It is an arithmetic number, because the mean of its divisors is an integer number (1323000).

Almost surely, 2^45729888 is an apocalyptic number.

45729888 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 45729888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63504000).

45729888 is an abundant number, since it is smaller than the sum of its proper divisors (81278112).

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

45729888 is a wasteful number, since it uses less digits than its factorization.

45729888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 316 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 51.

The square root of 45729888 is about 6762.3877439851. The cubic root of 45729888 is about 357.6020879818.

The spelling of 45729888 in words is "forty-five million, seven hundred twenty-nine thousand, eight hundred eighty-eight".