28967400 has 432 divisors, whose sum is σ = 128637600. Its totient is φ = 5702400.

The previous prime is 28967399. The next prime is 28967429. The reversal of 28967400 is 476982.

28967400 = 315² + 316² + ... + 490².

It is a super-2 number, since 2×28967400² = 1678220525520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1524591 + ... + 1524609.

It is a vampire number, since it can be written as 4200 ⋅ 6897 (with its own digits).

Almost surely, 2^28967400 is an apocalyptic number.

28967400 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 28967400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64318800).

28967400 is an abundant number, since it is smaller than the sum of its proper divisors (99670200).

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

28967400 is a wasteful number, since it uses less digits than its factorization.

28967400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 28967400 is about 5382.1371219990. The cubic root of 28967400 is about 307.1165158074.

It can be divided in two parts, 2896 and 7400, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 28967400 in words is "twenty-eight million, nine hundred sixty-seven thousand, four hundred".