28877472000 has 720 divisors, whose sum is σ = 115863379632. Its totient is φ = 7100006400.

The previous prime is 28877471989. The next prime is 28877472011. The reversal of 28877472000 is 27477882.

It is an interprime number because it is at equal distance from previous prime (28877471989) and next prime (28877472011).

It can be written as a sum of positive squares in 8 ways, for example, as 7766544384 + 21110927616 = 88128^2 + 145296^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×28877472000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 33695572 + ... + 33696428.

Almost surely, 2^28877472000 is an apocalyptic number.

28877472000 is a gapful number since it is divisible by the number (20) 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 28877472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57931689816).

28877472000 is an abundant number, since it is smaller than the sum of its proper divisors (86985907632).

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

28877472000 is an equidigital number, since it uses as much as digits as its factorization.

28877472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The spelling of 28877472000 in words is "twenty-eight billion, eight hundred seventy-seven million, four hundred seventy-two thousand".