1928767401 has 24 divisors (see below), whose sum is σ = 3044911584. Its totient is φ = 1166780160.

The previous prime is 1928767397. The next prime is 1928767411. The reversal of 1928767401 is 1047678291.

It is a happy number.

It is not a de Polignac number, because 1928767401 - 2² = 1928767397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1928767411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36345 + ... + 71961.

It is an arithmetic number, because the mean of its divisors is an integer number (126871316).

Almost surely, 2^1928767401 is an apocalyptic number.

1928767401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1928767401 is a deficient number, since it is larger than the sum of its proper divisors (1116144183).

1928767401 is a wasteful number, since it uses less digits than its factorization.

1928767401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36181 (or 36178 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 1928767401 is about 43917.7344702570. The cubic root of 1928767401 is about 1244.7819601713.

The spelling of 1928767401 in words is "one billion, nine hundred twenty-eight million, seven hundred sixty-seven thousand, four hundred one".