7028033040 has 400 divisors, whose sum is σ = 28584420480. Its totient is φ = 1566812160.

The previous prime is 7028033039. The next prime is 7028033057. The reversal of 7028033040 is 403308207.

It is a super-2 number, since 2×7028033040² = 98786496822663283200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 7028032995 and 7028033013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1857871 + ... + 1861649.

Almost surely, 2^7028033040 is an apocalyptic number.

7028033040 is a gapful number since it is divisible by the number (70) 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 7028033040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14292210240).

7028033040 is an abundant number, since it is smaller than the sum of its proper divisors (21556387440).

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

7028033040 is a wasteful number, since it uses less digits than its factorization.

7028033040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3852 (or 3837 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 7028033040 is about 83833.3647183507. The cubic root of 7028033040 is about 1915.4813661279.

The spelling of 7028033040 in words is "seven billion, twenty-eight million, thirty-three thousand, forty".