728828352 has 420 divisors, whose sum is σ = 2663683776. Its totient is φ = 189665280.

The previous prime is 728828351. The next prime is 728828363. The reversal of 728828352 is 253828827.

Its product of digits (430080) is a multiple of the sum of its prime divisors (60).

It is a junction number, because it is equal to n+sod(n) for n = 728828298 and 728828307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728828351) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 23510577 + ... + 23510607.

Almost surely, 2^728828352 is an apocalyptic number.

728828352 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 728828352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331841888).

728828352 is an abundant number, since it is smaller than the sum of its proper divisors (1934855424).

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

728828352 is a wasteful number, since it uses less digits than its factorization.

728828352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 60 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 728828352 is about 26996.8211462016. The cubic root of 728828352 is about 899.9293574182.

The spelling of 728828352 in words is "seven hundred twenty-eight million, eight hundred twenty-eight thousand, three hundred fifty-two".