735728448 has 224 divisors, whose sum is σ = 2537789184. Its totient is φ = 182550528.

The previous prime is 735728443. The next prime is 735728449. The reversal of 735728448 is 844827537.

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 (48).

It is a junction number, because it is equal to n+sod(n) for n = 735728397 and 735728406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (735728443) 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, 295786 + ... + 298262.

It is an arithmetic number, because the mean of its divisors is an integer number (11329416).

Almost surely, 2^735728448 is an apocalyptic number.

735728448 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 735728448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268894592).

735728448 is an abundant number, since it is smaller than the sum of its proper divisors (1802060736).

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

735728448 is a wasteful number, since it uses less digits than its factorization.

735728448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2529 (or 2519 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 48.

The square root of 735728448 is about 27124.3147010206. The cubic root of 735728448 is about 902.7604333279.

The spelling of 735728448 in words is "seven hundred thirty-five million, seven hundred twenty-eight thousand, four hundred forty-eight".