736427328 has 224 divisors, whose sum is σ = 2425817856. Its totient is φ = 191987712.

The previous prime is 736427323. The next prime is 736427359. The reversal of 736427328 is 823724637.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a self number, because there is not a number n which added to its sum of digits gives 736427328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (736427323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1974150 + ... + 1974522.

It is an arithmetic number, because the mean of its divisors is an integer number (10829544).

Almost surely, 2^736427328 is an apocalyptic number.

736427328 is a gapful number since it is divisible by the number (78) 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 736427328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212908928).

736427328 is an abundant number, since it is smaller than the sum of its proper divisors (1689390528).

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

736427328 is a wasteful number, since it uses less digits than its factorization.

736427328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 511 counting only the distinct ones).

The product of its digits is 338688, while the sum is 42.

The square root of 736427328 is about 27137.1945491792. The cubic root of 736427328 is about 903.0461916330.

The spelling of 736427328 in words is "seven hundred thirty-six million, four hundred twenty-seven thousand, three hundred twenty-eight".