1457828810 has 16 divisors (see below), whose sum is σ = 2624832000. Its totient is φ = 582967056.

The previous prime is 1457828797. The next prime is 1457828819. The reversal of 1457828810 is 188287541.

It is a super-2 number, since 2×1457828810² = 4250529678532032200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1457828819) 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 7 ways as a sum of consecutive naturals, for example, 20591 + ... + 57789.

It is an arithmetic number, because the mean of its divisors is an integer number (164052000).

Almost surely, 2^1457828810 is an apocalyptic number.

1457828810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1457828810 is a deficient number, since it is larger than the sum of its proper divisors (1167003190).

1457828810 is a wasteful number, since it uses less digits than its factorization.

1457828810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41125.

The product of its (nonzero) digits is 143360, while the sum is 44.

The square root of 1457828810 is about 38181.5244588269. The cubic root of 1457828810 is about 1133.8845633567.

The spelling of 1457828810 in words is "one billion, four hundred fifty-seven million, eight hundred twenty-eight thousand, eight hundred ten".