1447100928 has 720 divisors, whose sum is σ = 5730805080. Its totient is φ = 346816512.

The previous prime is 1447100903. The next prime is 1447100953. The reversal of 1447100928 is 8290017441.

It is an interprime number because it is at equal distance from previous prime (1447100903) and next prime (1447100953).

It can be written as a sum of positive squares in 4 ways, for example, as 1197713664 + 249387264 = 34608^2 + 15792^2 .

It is a super-2 number, since 2×1447100928² = 4188202191636922368, 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 = 1447100892 and 1447100901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49900018 + ... + 49900046.

Almost surely, 2^1447100928 is an apocalyptic number.

1447100928 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 1447100928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865402540).

1447100928 is an abundant number, since it is smaller than the sum of its proper divisors (4283704152).

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

1447100928 is a wasteful number, since it uses less digits than its factorization.

1447100928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1447100928 is about 38040.7798027328. The cubic root of 1447100928 is about 1131.0963666783.

The spelling of 1447100928 in words is "one billion, four hundred forty-seven million, one hundred thousand, nine hundred twenty-eight".