735022728 has 96 divisors (see below), whose sum is σ = 2244295200. Its totient is φ = 222726240.

The previous prime is 735022721. The next prime is 735022747. The reversal of 735022728 is 827220537.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 735022692 and 735022701.

It is not an unprimeable number, because it can be changed into a prime (735022721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12075 + ... + 40197.

It is an arithmetic number, because the mean of its divisors is an integer number (23378075).

Almost surely, 2^735022728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 735022728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122147600).

735022728 is an abundant number, since it is smaller than the sum of its proper divisors (1509272472).

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

735022728 is a wasteful number, since it uses less digits than its factorization.

735022728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28160 (or 28139 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 735022728 is about 27111.3025876663. The cubic root of 735022728 is about 902.4716945924.

The spelling of 735022728 in words is "seven hundred thirty-five million, twenty-two thousand, seven hundred twenty-eight".