1429246728 has 512 divisors, whose sum is σ = 5322240000. Its totient is φ = 344881152.

The previous prime is 1429246717. The next prime is 1429246751. The reversal of 1429246728 is 8276429241.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16058908 + ... + 16058996.

It is an arithmetic number, because the mean of its divisors is an integer number (10395000).

Almost surely, 2^1429246728 is an apocalyptic number.

1429246728 is a gapful number since it is divisible by the number (18) 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 1429246728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661120000).

1429246728 is an abundant number, since it is smaller than the sum of its proper divisors (3892993272).

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

1429246728 is a wasteful number, since it uses less digits than its factorization.

1429246728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 176 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 1429246728 is about 37805.3796171920. The cubic root of 1429246728 is about 1126.4253152165.

The spelling of 1429246728 in words is "one billion, four hundred twenty-nine million, two hundred forty-six thousand, seven hundred twenty-eight".