749628432 has 200 divisors, whose sum is σ = 2610696000. Its totient is φ = 202860288.

The previous prime is 749628421. The next prime is 749628433. The reversal of 749628432 is 234826947.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (749628433) 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 39 ways as a sum of consecutive naturals, for example, 170194 + ... + 174542.

It is an arithmetic number, because the mean of its divisors is an integer number (13053480).

Almost surely, 2^749628432 is an apocalyptic number.

749628432 is a gapful number since it is divisible by the number (72) 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 749628432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305348000).

749628432 is an abundant number, since it is smaller than the sum of its proper divisors (1861067568).

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

749628432 is a wasteful number, since it uses less digits than its factorization.

749628432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4395 (or 4380 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 749628432 is about 27379.3431623186. The cubic root of 749628432 is about 908.4102307725.

The spelling of 749628432 in words is "seven hundred forty-nine million, six hundred twenty-eight thousand, four hundred thirty-two".