28392000 has 336 divisors, whose sum is σ = 116019072. Its totient is φ = 5990400.

The previous prime is 28391981. The next prime is 28392031. The reversal of 28392000 is 29382.

28392000 = T₇₄₄ + T₇₄₅ + ... + T₈₃₄.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×28392000² = 1612211328000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2183994 + ... + 2184006.

Almost surely, 2^28392000 is an apocalyptic number.

28392000 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 28392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58009536).

28392000 is an abundant number, since it is smaller than the sum of its proper divisors (87627072).

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

28392000 is a wasteful number, since it uses less digits than its factorization.

28392000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 28392000 is about 5328.4143982990. The cubic root of 28392000 is about 305.0694099845.

The spelling of 28392000 in words is "twenty-eight million, three hundred ninety-two thousand".