4028899633920 has 576 divisors, whose sum is σ = 16866535956480. Its totient is φ = 891183513600.

The previous prime is 4028899633903. The next prime is 4028899633937. The reversal of 4028899633920 is 293369988204.

4028899633920 is a `hidden beast` number, since 402 + 8 + 89 + 9 + 63 + 3 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4028899633903) and next prime (4028899633937).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7230910 + ... + 7768130.

It is an arithmetic number, because the mean of its divisors is an integer number (29282180480).

Almost surely, 2^{4028899633920} is an apocalyptic number.

4028899633920 is a gapful number since it is divisible by the number (40) 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 4028899633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8433267978240).

4028899633920 is an abundant number, since it is smaller than the sum of its proper divisors (12837636322560).

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

4028899633920 is a wasteful number, since it uses less digits than its factorization.

4028899633920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537289 (or 537269 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 4028899633920 in words is "four trillion, twenty-eight billion, eight hundred ninety-nine million, six hundred thirty-three thousand, nine hundred twenty".