4629961728 has 352 divisors, whose sum is σ = 16035379200. Its totient is φ = 1292156928.

The previous prime is 4629961697. The next prime is 4629961729. The reversal of 4629961728 is 8271699264.

4629961728 is a `hidden beast` number, since 4 + 629 + 9 + 6 + 1 + 7 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4629961729) 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, 9095938 + ... + 9096446.

Almost surely, 2^4629961728 is an apocalyptic number.

4629961728 is a gapful number since it is divisible by the number (48) 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 4629961728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8017689600).

4629961728 is an abundant number, since it is smaller than the sum of its proper divisors (11405417472).

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

4629961728 is a wasteful number, since it uses less digits than its factorization.

4629961728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 568 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 4629961728 is about 68043.8221148695. The cubic root of 4629961728 is about 1666.7065175182.

The spelling of 4629961728 in words is "four billion, six hundred twenty-nine million, nine hundred sixty-one thousand, seven hundred twenty-eight".