1461848928 has 48 divisors (see below), whose sum is σ = 3846205440. Its totient is φ = 486158976.

The previous prime is 1461848911. The next prime is 1461848929. The reversal of 1461848928 is 8298481641.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461848929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24801 + ... + 59487.

It is an arithmetic number, because the mean of its divisors is an integer number (80129280).

Almost surely, 2^1461848928 is an apocalyptic number.

It is an amenable number.

1461848928 is an abundant number, since it is smaller than the sum of its proper divisors (2384356512).

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

1461848928 is a wasteful number, since it uses less digits than its factorization.

1461848928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35139 (or 35131 counting only the distinct ones).

The product of its digits is 884736, while the sum is 51.

The square root of 1461848928 is about 38234.1330227324. The cubic root of 1461848928 is about 1134.9258758607.

It can be divided in two parts, 14618 and 48928, that added together give a triangular number (63546 = T₃₅₆).

The spelling of 1461848928 in words is "one billion, four hundred sixty-one million, eight hundred forty-eight thousand, nine hundred twenty-eight".