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728696430 = 2325711711481
BaseRepresentation
bin101011011011110…
…000011001101110
31212210011121120200
4223123300121232
52443021241210
6200150254330
724025550250
oct5333603156
91783147520
10728696430
1134436a460
121840573a6
13b7c78c27
146cac7cd0
1543e900c0
hex2b6f066e

728696430 has 192 divisors, whose sum is σ = 2396998656. Its totient is φ = 149184000.

The previous prime is 728696393. The next prime is 728696461. The reversal of 728696430 is 34696827.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 491290 + ... + 492770.

It is an arithmetic number, because the mean of its divisors is an integer number (12484368).

Almost surely, 2728696430 is an apocalyptic number.

728696430 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 728696430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198499328).

728696430 is an abundant number, since it is smaller than the sum of its proper divisors (1668302226).

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

728696430 is a wasteful number, since it uses less digits than its factorization.

728696430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 728696430 is about 26994.3777479682. The cubic root of 728696430 is about 899.8750567295.

The spelling of 728696430 in words is "seven hundred twenty-eight million, six hundred ninety-six thousand, four hundred thirty".