1028993472 has 168 divisors, whose sum is σ = 3203600400. Its totient is φ = 313896960.

The previous prime is 1028993467. The next prime is 1028993489. The reversal of 1028993472 is 2743998201.

1028993472 is a `hidden beast` number, since 10 + 2 + 89 + 93 + 472 = 666.

It is a super-2 number, since 2×1028993472² = 2117655130837229568, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 980404 + ... + 981452.

It is an arithmetic number, because the mean of its divisors is an integer number (19069050).

Almost surely, 2^1028993472 is an apocalyptic number.

1028993472 is a gapful number since it is divisible by the number (12) 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 1028993472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601800200).

1028993472 is an abundant number, since it is smaller than the sum of its proper divisors (2174606928).

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

1028993472 is a wasteful number, since it uses less digits than its factorization.

1028993472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1028993472 is about 32077.9281126447. The cubic root of 1028993472 is about 1009.5725642889.

The spelling of 1028993472 in words is "one billion, twenty-eight million, nine hundred ninety-three thousand, four hundred seventy-two".