1457028000 has 288 divisors, whose sum is σ = 5366088000. Its totient is φ = 388281600.

The previous prime is 1457027983. The next prime is 1457028007. The reversal of 1457028000 is 8207541.

1457028000 is a `hidden beast` number, since 14 + 570 + 2 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1457028007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 971251 + ... + 972749.

It is an arithmetic number, because the mean of its divisors is an integer number (18632250).

Almost surely, 2^1457028000 is an apocalyptic number.

1457028000 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 1457028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2683044000).

1457028000 is an abundant number, since it is smaller than the sum of its proper divisors (3909060000).

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

1457028000 is an equidigital number, since it uses as much as digits as its factorization.

1457028000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1457028000 is about 38171.0361399845. The cubic root of 1457028000 is about 1133.6769046782.

The spelling of 1457028000 in words is "one billion, four hundred fifty-seven million, twenty-eight thousand".