1453033728 has 180 divisors, whose sum is σ = 4392474240. Its totient is φ = 477674496.

The previous prime is 1453033711. The next prime is 1453033733. The reversal of 1453033728 is 8273303541.

It is a super-2 number, since 2×1453033728² = 4222614029411155968, 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 = 1453033692 and 1453033701.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1637701 + ... + 1638587.

Almost surely, 2^1453033728 is an apocalyptic number.

1453033728 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 1453033728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2196237120).

1453033728 is an abundant number, since it is smaller than the sum of its proper divisors (2939440512).

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

1453033728 is an frugal number, since it uses more digits than its factorization.

1453033728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 1453033728 is about 38118.6795154292. The cubic root of 1453033728 is about 1132.6400090049.

The spelling of 1453033728 in words is "one billion, four hundred fifty-three million, thirty-three thousand, seven hundred twenty-eight".