1928151540 has 432 divisors, whose sum is σ = 7362456192. Its totient is φ = 414865152.

The previous prime is 1928151539. The next prime is 1928151541. The reversal of 1928151540 is 451518291.

It is an interprime number because it is at equal distance from previous prime (1928151539) and next prime (1928151541).

It is a super-2 number, since 2×1928151540² = 7435536722408743200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1928151495 and 1928151504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1928151541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12281142 + ... + 12281298.

Almost surely, 2^1928151540 is an apocalyptic number.

1928151540 is a gapful number since it is divisible by the number (10) 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 1928151540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3681228096).

1928151540 is an abundant number, since it is smaller than the sum of its proper divisors (5434304652).

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

1928151540 is a wasteful number, since it uses less digits than its factorization.

1928151540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 1928151540 is about 43910.7223807580. The cubic root of 1928151540 is about 1244.6494585762.

The spelling of 1928151540 in words is "one billion, nine hundred twenty-eight million, one hundred fifty-one thousand, five hundred forty".