2928464352 has 144 divisors (see below), whose sum is σ = 9378270720. Its totient is φ = 858758400.

The previous prime is 2928464333. The next prime is 2928464377. The reversal of 2928464352 is 2534648292.

2928464352 is a `hidden beast` number, since 292 + 8 + 4 + 6 + 4 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 2928464298 and 2928464307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83299 + ... + 113117.

It is an arithmetic number, because the mean of its divisors is an integer number (65126880).

Almost surely, 2^2928464352 is an apocalyptic number.

2928464352 is a gapful number since it is divisible by the number (22) 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 2928464352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4689135360).

2928464352 is an abundant number, since it is smaller than the sum of its proper divisors (6449806368).

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

2928464352 is a wasteful number, since it uses less digits than its factorization.

2928464352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29877 (or 29866 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 2928464352 is about 54115.2875997162. The cubic root of 2928464352 is about 1430.6936423260.

It can be divided in two parts, 29284 and 64352, that added together give a square (93636 = 306²).

The spelling of 2928464352 in words is "two billion, nine hundred twenty-eight million, four hundred sixty-four thousand, three hundred fifty-two".