1004028564 has 48 divisors (see below), whose sum is σ = 2920813056. Its totient is φ = 260786400.

The previous prime is 1004028563. The next prime is 1004028601. The reversal of 1004028564 is 4658204001.

It is a super-3 number, since 3×1004028564³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004028563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 542382 + ... + 544229.

It is an arithmetic number, because the mean of its divisors is an integer number (60850272).

Almost surely, 2^1004028564 is an apocalyptic number.

1004028564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1004028564 is an abundant number, since it is smaller than the sum of its proper divisors (1916784492).

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

1004028564 is a wasteful number, since it uses less digits than its factorization.

1004028564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086636 (or 1086634 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 1004028564 is about 31686.4097682271. The cubic root of 1004028564 is about 1001.3410554331.

The spelling of 1004028564 in words is "one billion, four million, twenty-eight thousand, five hundred sixty-four".