1540961928 has 128 divisors (see below), whose sum is σ = 4769280000. Its totient is φ = 456989760.

The previous prime is 1540961911. The next prime is 1540961963. The reversal of 1540961928 is 8291690451.

1540961928 is a `hidden beast` number, since 1 + 5 + 4 + 0 + 9 + 619 + 28 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104773 + ... + 118571.

It is an arithmetic number, because the mean of its divisors is an integer number (37260000).

Almost surely, 2^1540961928 is an apocalyptic number.

1540961928 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 1540961928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384640000).

1540961928 is an abundant number, since it is smaller than the sum of its proper divisors (3228318072).

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

1540961928 is a wasteful number, since it uses less digits than its factorization.

1540961928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13872 (or 13862 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 1540961928 is about 39255.0879250066. The cubic root of 1540961928 is about 1155.0407406780.

The spelling of 1540961928 in words is "one billion, five hundred forty million, nine hundred sixty-one thousand, nine hundred twenty-eight".