1457920728 has 128 divisors (see below), whose sum is σ = 4434393600. Its totient is φ = 440150400.

The previous prime is 1457920693. The next prime is 1457920729. The reversal of 1457920728 is 8270297541.

It is a happy number.

1457920728 is a `hidden beast` number, since 1 + 4 + 579 + 2 + 0 + 72 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1457920729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 737950 + ... + 739922.

It is an arithmetic number, because the mean of its divisors is an integer number (34643700).

Almost surely, 2^1457920728 is an apocalyptic number.

1457920728 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 1457920728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2217196800).

1457920728 is an abundant number, since it is smaller than the sum of its proper divisors (2976472872).

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

1457920728 is a wasteful number, since it uses less digits than its factorization.

1457920728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2310 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 1457920728 is about 38182.7281372088. The cubic root of 1457920728 is about 1133.9083938207.

The spelling of 1457920728 in words is "one billion, four hundred fifty-seven million, nine hundred twenty thousand, seven hundred twenty-eight".